Alternatively, I still like the Channel-Lich combo, and if it came down to it, I'd cut R/D and one other card for the two cards (Possibly Mind's Desire.).
Those options are largley worse than Desire/Beacon tbh. Without destroying your sideboard, there are only really two good options for a pass the turn pile (that doesn't cost 5-8 life after Doomsday) right now:
U next turn + 2* additional cards in hand/play/yard post DD
Recall
Lotus
Twister
Lotus Petal
Tendrils of Agony
The idea here is that you Recall into Twister, Twist into Doomsday, Doomsday for Lotus, Petal, Tendrils, then Recall into your 2nd Doomsday pile. Pact makes the whole thing safer vs blue decks. This is a variant of piles posted by Becker in the NLD thread a few years ago (he had Dark RIt over Petal and had an initial cost of UB so that he could go infinite (cast Tendirls every other iteration of the pile).
If you have one of those cards in your hand as one of your two, you can add in a Pact of Negation in your top4 cards to protect your pile. If your opponent counters Ancestral Recall, but doesn't immediately win, you can still Twister and win the game (I've done this a couple times against an opponent who was Duressed, had nothing, then topdecked a counter).
*other numbers higher than 2 work, but their results are mixed and you can't use the steps in this pile
The other good pass the turn pile is the classic Desire/Beacon pile. This has a current advantage over R&D of not requiring you to load up your sideboard with extra fluff (the best solutions for a Desire/R&D pile I found involved either double Tendrils or sideboarding Walk, Emrakul, and R&D). The downside is that Mind's Desire is terrible the majority of the time you happen to draw it (particularly in a MUD-filled metagame like we have today).
If you include Fastbond (which you really should do, it's fucking insane), you can do something like this (again, credit to the old NLD thread):
Gush
Fastbond
Gush
Yawgmoth's Will
Research//Development
It plays out like this:
Draw Gush for the turn, float BG, cast it drawing Gush and Fastbond (Storm 1)
Cast Fastbond, float B (Storm 2)
Play your land per turn, then another land (take 1 damage), float GBB, cast Gush drawing Will+RnD(Storm 3, 1 damage)
Play both of your lands (take 2 damage), floating GUBBB, cast RnD, floating BBB, for Dark Ritual, Cabal Ritual, Tendrils of Agony, any card (Duress/TS/Pact are good choices) (Storm 4, 3 damage)
Play Yawgmoth's Will with no mana floating (Storm 5)
Play Gush drawing X, X (Storm 6)
Play both of your lands (take 2 damage), floating BU play Gush (Storm 7, 5 damage) (if you draw Dark Rit + Tendrils, you might just be able to win on the spot if your opponent is at 18 or less)
Play both of your lands (take 2 damage), floating BUUG, play Gush (Storm 8, 7 damage)
Play Dark Ritual (Storm 9)
Play Cabal Ritual (Storm 10)
Play Duress/Thoughtseize/RnD for extra storm (Storm 11)
Play Tendrils of Agony with at least 11 storm
You need BB and G from your lands/petals/lotus/moxen at some point, so this pile works best with Trop/Sea in play, but there are other combinations that work. For each island beyond the first two, you can save yourself one point of damage.
The drawbacks here are that you need to put at least 2 cards that are, at worst, not optimal in the sideboard, and you lose a Dark Ritual from the main. In AD's Storm-focused build this is probably not going to be possible, but it's not actually not a big deal in something built closer on NLD (along the lines of the list I post down below).
The problems with the Lich's Mirror/Channel pile is that it requires very specific numbers of additional cards in play/hand/yard otherwise it can become extremely prone to fizzling. Particularly if you have a number that isn't 7, you may run into a situation where the following occurs:
You didn't draw Lich's Mirror.
You didn't draw Ancestral Recall.
You didn't draw your win condition (Tendrils/Stroke of Genius seem to be the best two, but I'd have to assume in these builds you'd be running Tendrils).
If you have more than 7 but less than 10, you can run into a situation where you draw Recall but can't actually kill the opponent. You can also fizzle on your first iteration by drawing Recall + Tendrils but not Lich's Mirror or Black Lotus.
As for an actual list, I've been playing something that is very close to the old Next Level Doomsday lists. It has become more focused on Doomsday since Gushbond is noticeably worse, but it still appears to offer a good mix of disruption, speed an resilience.
My list has been looking like:
1 Ancestral Recall
1 Brainstorm
1 Ponder
4 Preordain
4 Gush
4 Force of Will
1 Pact of Negation
2 Thoughtseize
1 Duress
3 Nature's Claim
2 Hurkyl's Recall
4 Dark Ritual
1 Black Lotus
1 Fastbond
1 Lotus Petal
1 Mox Jet
1 Mox Sapphire
4 Doomsday
1 Necropotence
1 Timetwister
1 Yawgmoth's Will
1 Tendrils of Agony
1 Demonic Tutor
1 Merchant Scroll
1 Vampiric Tutor
1 Imperial Seal
1 Mystical Tutor
4 Polluted Delta
2 Misty Rainforest
3 Underground Sea
3 Tropical Island
2 Snow-covered Island
My sideboard has been a mix of:
3-4 Energy Flux
additional Trop Island/basic Island/Swamp (depends on my exact board if I need a swamp)
Chain of Vapor (extra storm enabler, a way to not be 100% cold to Mage/Teeg)
Xantid Swarm or Duress
Leyline/Yixlid Jailer
2nd Tendrils as an out to Extract
4th Nature's Claim/Naturalize/Rebuild
I've been considering making changes to the maindeck to support Desire + Beacon so that I can have a pass the turn pile that doesn't require cards in hand, but I'm not sure it's actually necessary (the Twister pile can win even if you get Duressed as long as you weren't holding Twister or Recall.
The green Mox is something I'm on the edge about. On one hand, it's an extra way to cast removal, to pay for removal vs spheres, and to cast sb Swarm (which is huge vs blue since you're almost pre-siding vs MUD). On the other hand, most of the deck is almost all blue and black colored symbols so when it's not casting Swarm or Nature's Claim, it's probably dead.
I've wanted to experiment with SDT since I love it so much in Legacy (SDT + Chain of Vapor piles are particularly awesome), but I haven't really had the time.
I considered the Oath sideboard plan with 0-3 Forbidden Orchard along with some Terastadons, but I haven't been able to test that sideboard yet. The Claim/Recall/Force stall plan into a quick Doomsday/Energy Flux appears to be pretty good as a solution to MUD/Stax, at least as good or better than I've seen from a blue deck so far.