first, what are the cuttable cards from the main deck?
deep analysis, when you are trying to race against aggro?
AK's when playing the mirror, or AK oath? (how many should i leave in, 1?
duress: decks that feature creature heavy land/mana accel heavy (5/3?)
cunning wish: instead of spending an additiona U2, just topdeck the answer from your deck?
AK:
Some decks randomly stuff Intuition-AK into their decks, and while that's fine it doesn't mean jack if your opponent is using AK too and you're stuck with not just dead AK's, but dead Intuitions as well.
In this case, if Tog is facing the AK mirror against one of those kind of opponents, it will Intuition for Deep Analysis. This means that Intuition the card is still really good, but their Intuions and AK's are dead, leaving 6+ dead cards for them while you only have 4 and you're outdrawing them.
The reason I leave my AK's in is because if my opponent decides to use either Intuition or AK to try and catch up with my Deep Analysis, I will get to reap the rewards if they use their AKs first. Usually, the person who casts AK last will draw the most cards and therefore win the card-draw war.
Those are my experiences there. Many decks however will not play into your AK's, and will instead use their Intuitions for tutoring, such as when Oath tutors for Forbidden Orchard.
Regarding Cunning Wish:
You have to keep in mind that this deck has a purpose - it wants to Berserk a Tog.
I think your matches aren't determined by how well you can counter everything, but sometimes you just simply have to power up a Tog and attack. It's about tempo.
That's why I don't think removing your primary access to Berserk is a good idea. I think taking out Cunning Wish is a fine idea for other decks, but Tog really needs it. I think of it as a combo deck, and one of the combo pieces is Berserk.
I can't help you out with any of your SB'ing though. I'm not sure you'll find anything pleasant until you start splashing red, to be honest. I found that when I added red, many of my biggest problems simply disappeared.
Unfortunately,I never got a 4c Tog to work with strips, so in order to add red you'd have to drop the strips. Is it worth it? Well, you get more SB options so your matches improve, and on top of that you get more targets for Cunning Wish. Personally, I think it's more in line with the direction Tog needs to go to succeed.