Dream scenarios for the Bears right now would be either Stroud doesn't declare and teams aren't sold on Levis in the top 5, or Stroud declares and Levis makes people want to move up to 3 for him. I think scenario 2 is most likely. In scenario 1, you can trade back with the Texans for a massive haul (due to there not being another QB on the board) and get Anderson. In scenario 2, you can move back with Indy, get an even bigger haul, and get Anderson. Worst case is that all 3 guys are there and none are the clear #1, allowing teams to be patient and take what they get.
"Aside from height" renders him a non-elite QB prospect. Not saying he's not going to get there or anything, but there's a reason the generational/elite prospects are the prototypical 6'4-6'5, well-built, and athletic (unless they have insane athleticism ala RG3). Bryce's build (both height and weight) would make him an outlier to basically every other successful QB aside from Kyler, and Kyler isn't exactly lighting the world on fire.
He might have everything else, but build is a vital component for football players that can't be "aside from"'d away.