This looks like a really fun shell to try Burning Wish in, that said:
I am not sure what the best card to run in the 4x search slot. I like the idea of a cheap way to dig/shuffle away blightsteel in See beyond/careful study/looking, but they all seem very slow at sorc speed, and the CA disadvantage on study/looting sucks.
You don't really need to worry about getting Blightsteel stuck in hand as you can play a Show and Tell in your wish board. You might have room though here to give Izzett Charm a go - adds to your anti-workshop package and can help dig for business if necessary (at instant speed).
The other thing I was thinking was looking at this, is that the great thing about Burning Wish is that it allows you to move singletons to the board and make a blue deck which is way more redundant than we've seen for a while (barring something like Landstill I guess). Why not max out on that? And as you're already playing four drains, get a high number of Jaces in there as well (instead of the vault-key-tezz package) and give Demonic Consultation a try. So like 3 Jaces + 1 Consult. Then you have a super powerful tutor for either win condition.
Ok, you might remove Blightsteel in the process, but you could then either go for a storm card out the board (Empty the Warrens) or add a second tinker target in the main like Memory Jar, which would seem pretty flexible - you can drain into it, then follow up with a Wish > Empty win or use it as a tinker target if your BSC somehow gets exiled.
So from your list:
4 x dig slot >>> 2 x Izzet Charm, 1 x Demonic Consultation, 1 x Memory Jar
2 Tezz, 1 Key, 1 Vault >>> 4 x Jace or 3x Jace, and another disruption slot
Oh and do you want an Academy in their somewhere if you're looking to drain aggressively?
Might all be guff, but just what popped into my head as I was in the shower
