I'll go first:
Drew Brees: Saints
Teddy Bridgewater: Chargers
Taysom Hill: Saints
Tom Brady: Patriots
Cam Newton: Indianapolis - total shot in the dark, I couldn't find a natural landing place for him
Matt Stafford: Panthers - this one makes a lot of sense to me if Brady is going to continue to want to gun-sling like he did at LSU.
Philip Rivers: Bears - he's better than Trubisky by enough to probably put them inthe playoffs
Andy Dalton: Dolphins - stop gap for Tua for a year
Derek Carr: Raiders - Gruden seems to like him, though I'm not confident in this one
Jameis Winston: Bucs - the devil you know..
Dak Prescott: Cowboys - franchise tag, worst case, IMO
Ryan Tannehill: Titans - predicting them to be foolish here
Mitch Trubisky: Bears - they'll spin some story about him sitting behind Rivers for a year and learning and still having potential, but he'll be out of the league in a few years
Joe Burrow: Bengals
Tua Tagovailoa: Dolphins (probably will have to trade up to #2)
Justin Herbert: Lions - another shot in the dark. I don't know where else to put him. NYG doesn't need a QB. Dolphins with Tua. Redskins just drafted Haskins. Carolina won't want a running QB. Zona has Murray. Jacksonville has Foles and Minshey. Cleveland has Mayfield. Etc. I think Herbert could fall further than people think.
The big question mark for me is the Jets. I don't know a lot about them or what they think about D'Arnold, but they could also be a landing spot for these middling vets like Dalton, Newton, or Rivers.