Here are teams with non-rookie QB draft picks who are starting, and are too young to give up on:
Rams
Titans
Bucs
Cowboys
Bears
Chiefs
That's another 6 slots gone, which takes us down to 23. To that, let's add QBs with non-rookie salaries who are secure because of trades to be the man and/or new deals, or hope and prayer among the front office:
Broncos
Redskins
Giants (hope and prayers!)
We're now down to 20 possible slots for Kaerpernick, regardless of scheme fit. Without getting too far into those 20 spots, let's look at a couple of them:
Cleveland - Cleveland already has Tyrod Taylor to go along with Mayfield. Why would they make the move, when Taylor can help serve as an example of a QB who emphasizes ball security?
Denver - While he's destined to be just a backup this season, Elway has signaled that he's not ready to give up on Paxton Lynch yet, and Kaepernick doesn't really reflect Keenum's game, so he'd probably not be a great fit as a backuop anyway.
Etc...
There are some openings where Kaepernick might make sense (See Jags, Seahawks backup, Dolphins, etc...), but the current number of spots that might make any real sense right now is much closer to 10 (more or less) than it is to 62.