Here's my list at the moment:
I'm still changing a slot or two around each event, but it doesn't deviate much from this.
There are certainly other approaches to Mentor+Control now, the biggest questions being where you land on the tempo<->controlling scale, and which colors you run.
I like to keep my curve fairly low, but not to the point of becoming an aggro deck.
For colors, I wasn't worried about running a 3 color manabase, but wasn't comfortable with four. Between Swords to Plowshares and Fragmentize, Red or Green aren't strictly necessary for the shops matchup in the way they once were.
Ultimately I value Pyroblast, Dack Fayden, and By Force higher than Demonic Tutor and Painful Truths (and possibly Tasigur + Deathrite Shaman, but that's a stretch).
For a hot second I considered a Tarmogoyf build but thought better of it before I put it together. I'm just not impressed at all by Sylvan Library, but I'm sure someone in this thread will have an impassioned counterargument to that
To address your specific questions:
Are Supreme Verdict and Sudden Shock still good?
My pre-restriction list had Sudden Shocks, which I no longer run — mostly because Mentor is less popular now.
I suspect it's also worse in the matchup than it used to be, as the deck is less likely to have (and less reliant on) explosive Mentor draws that force you to kill it immediately or lose.
I expect Mentor to get more popular over the next few months, so some sort of more dedicated mirror card might become more important soon.
My valuation of Pyroblast has gone up a little. Pyroblast vs Gush and Gitaxian Probe was a little lackluster, but it's strong against a lot of the cards you see replacing it.
I haven't moved to Mana Drains, which some people predicted would start showing up. I've tried them in a few blue lists and really don't think they're very strong right now.
Draw spell selection
So far I've been getting the impression that filtering for your good restricted spells (with Preordain, mostly) seems to outdraw decks trying to capitalize on unrestricted draw engines like Thirst for Knowledge.
The card that obviously stands out in my list is Compulsive Research. While I think cantrips are, in general, better than unrestricted draw, they hit diminishing returns eventually, and I felt like I could use one more "pull ahead" card to cantrip into.
After plotting out the deck, I found myself looking for 1 or 2 extra cards that 1) generated actual card advantage, 2) didn't cost 4 or more mana, and 3) didn't require me to change cards I was happy with to support them. Compulsive Research was simply the best card that fit all three of those criteria. It's not an all-star but it has yet to disappoint me
If you were already running the cards necessary to support Painful Truths or Thirst for Knowledge, those are likely better choices. For me they don't seem worth the cost to the rest of the deck.
I've just been sticking to Mentors and Jaces. Personally I think the 5+CMC threats just don't work without supporting them with a bigger manabase, and perhaps some Mana Drains (both of which I think are a mistake in Mentor), and even then they lead to some consistency issues.
Tendrils just needs too much support from cards I'm not running (mostly Moxes). Obviously the Storm+Mentor decks are an entirely different animal.
Various utility creatures (Snapcaster Mage; Vendilion Clique; Containment Priest; Kataki, War's Wage) seem okay to me, but I usually end up cutting them.