If we look at Schneiders history of QB's that he's flirted with, he seems to really value arm strength and athleticism.
The first QB we can think of here is of course Russell Wilson. While he did not possess proto-typical NFL size, Wilson had a cannon of an arm, an elite deep ball and his speed/agility put him in the top 1 percent of the NFL as far as QB's go from day one. Young Wilson also possessed the ability to accelerate to full speed in the blink of an eye. He could stop and start on a dime. I'm convinced if he was a RB he'd probably be a Barry Sanders like character. His elusiveness was elite, he made the best NFL defenders look like fools trying to tackle him. He could throw the ball with scary velocity and accuracy from really weird and unorthodox positions.
The second QB I can recall a lot of buzz around was Patrick Mahomes. Mahomes didn't posses an elite 40 times, but like Wilson he had the ability to stop and start on a dime and throw from weird and unorthodox positions. He too also possessed an elite arm and improvisational skills.
The third QB we heard about is Josh Allen. There was a ton of talking going around about the Seahawks and Josh Allen. As far as rumors go I think this is the most likely one to have potentially happened. The rumors caused so much buzz that Wilson and his agent contacted Carroll/Schneider. Josh Allen was an extremely raw prospect. Accuracy was not great in college, but neither was Allen's mechanics. His arm strength, measurables and improv ability were off the charts.
The fourth QB that was tied to us was our own Drew Lock. Lock was the Allen archetype. A raw prospect with a huge arm and a quick on his feet.
The fifth QB linked to us was Richardson last season. Anthony Richardson was another QB that was as raw as they came. He possessed elite speed, a gifted arm and a knack for improvisational abilities.
Schneider has flirted with Mahomes, Allen, Lock, and Richardson as well as drafted Russell Wilson. Just about all of these QB's have elite measurables and are known for their work after the play breaks down. Even Whitehurst was very mobile and had a decent arm on him, he just was extremely inaccurate. T-Jack even fit into this mold somewhat, big arm, athletic.
Of all the QB's we see in the NFL draft I'd say that Maye, Williams and Daniels fit the Schneider archetype the most. If we go further, most of these QB's were known as high character guys. I'd say that Maye and Daniels are the two main QB's on Schneiders radar if we draft a QB in the first if we just go by the players that Schneider supposedly liked. Schneider was also one of the highest ranking guys in the FO in GB when they drafted Rodgers.
If get a QB, I'm going to assume he's going to put a high priority on guys that are good at improvising and are above average athletes.
I think given Schneiders past preferences, that leaves Penix and Bo Nix out and McCarthy as the wildcard. I think Penix and Nix are a no right now, but wouldn't be surprised if Schneider pulls the trigger. Penix ran a lot and seemed to show improv abilities, but has also had a lot of knee injuries. He can still move but doesn't very dynamic these days. He's almost purely a pocket passer these days, very much so like our very own Geno Smith in both strengths and weaknesses. Bo Nix is quick on his feet but lacks elite arm strength.
J.J McCarthy is the one that I'm unsure about. He has shown a knack for improvisation, he's good at throwing on the move and his arm strength is well above average, but is clearly not as good as a Penix, Maye, Daniels or Williams. He doesn't quite fit into the Schneider mold, but he does seem to have a certain "IT" factor about him that Wilson had. He's not the best out of the bunch in any category but he seems to do everything well. He is this drafts jack of all trades, master of none sort of character. He kind of gives me Brock Purdy sort of vibes.
If Schneider could draft one of these guys, i'd put my money on Daniels.