The factors that we take into consideration before deciding to to b/f, c/c or b/c are more important than what might be technically correct in this specific spot. The deuce will probably give his small fd's on the flop some added equity and this is a spot where it just looks like ur b/f'ing a ton and even if u dont fold there its an easy river ship IP for him esp since he can be quite balanced. To top it off his flatting range there is so wide and ur barreling range is quite narrow and polarized. If you think he is a good player then he would be more likely to exploit it. Knowing what level ur opponent is on and estimating what he might think u will do in this spot will generally put you in good situations that arent too exploitable.

Whenever im playing deep on a table where there are a couple of decent players with similar stack sizes I try my best to see how they play against each other in HU spots and it gives me a good sense of how they might play against me if they perceive me to be a decent player as well.

Against this specific guy I wouldnt mind c/c'ing or b/c'ing turn and c/re-eval river. Given the disparity between his vpip and pfr i would assume he is flatting a fair bit in position and since ur deep he is more likely to flat and float wider. If the sample size of hands is big enough his turn raise percentage IP and river AF as well as his WTSD, WWSF and W$SD would give us a pretty good idea of how he carries on with the hand if he gets called. Our hand is super face up by the river so we would have to soul read our way out of it. I would fold on almost all rivers that are good for his percieved semi bluffing range on the river if he were to bet them obv. I might be calling off most of the other cards that dont fall into the previous category.

Dont know whether this is very spewey or not vs this specific player 200bb deep OOP. Its not something i would do everytime ofcourse but depending on certain aggro dynamics i would take a more showdown bound line whether it be c/c'ing or b/c'ing on wettish boards against thinking players.