Vilain opens in mp, hero flats in bb,
flop : Kc 5s Jc > hero x, vilain cb, hero calls
turn : Kc 5s Jc Qc > x-x
river : Kc 5s Jc Qc 3d

On the turn as vilain x-back, I think his range is quite capped. But as this turn improves a lot my range he mays x-back very often, including strong hands ? How you think he should build his range here ?

On the river the basic plan for hero is to bet (DP+ and bluff) and x-decide with the rest.

Some questions come to mind :

-How thin we want to value bet ? (as the turn improves us, we have not many «air hands» so vilain should not catch very light).

-Which sizing to use ? First, as vilain seems capped we want to bet big, but on the other hand as we have not many bluff, your range is «too strong » and maybe we should bet smaller ?

-To add bluff's combos, we can turn Jx (for exemple) into bluff and it will works well imo. But now for seek of reflexion following this logic to extreme, could we possibly sizing big (overbet) and bet your entire range here ? ^^

-In practice, we probably have a checking range here, as we want to bet our strong hands here, this checking range is weak and capped (showdown value hands) ... Is this a problem ? Should we defend 1-a on this spot (x-call vs vilain's bet), this question means basicly could vilain exploit us in this spot (when we check leaving us with a weak range). Or should we play more exploitive assuming : a) vilain will x-back most of the time (and we win on high frequency) AND b) vilain will bet basicly his rare strong hands and not realy bluff us... so we exploit-folding a lot

If you think some of the questions are interesting, feel free to share your thoughts on it ;)

(This is a CRev files to show I try to do my homework lol but I am not so good at this and it's not lead me to clear answer ..)