Flop: I am not 100% sure what this flop does to the CO's and BU's pre-flop ranges since neither player should have much 2x and 4x, but this certainly looks like a flop that favors the IP PFC. I go for a range check with the plan to construct a polar xr range predominantly composed of sets (I have 88, 44, 22 here), TPTK and overpairs. The bluffing part is constructed around FDs and BDFDs with a gutshot. 6d5d nicely fits into these categories.

Turn: My main question is on my turn play here. In general this turn is good for the xr range I assume. In my understanding, the BU prefers static runouts that fail to provide equalization potential against all the SDV hands he calls the xr with, whereas the xr range prefers dynamic turns that improve its bluffing range. With this particular combo, I turn a pair but felt like my hand is too weak to check and proceed to showdown. Hence I continue betting and turn my middle pair into a bluff essentially. Seems okay? Or do I need to get to showdown here? Once it goes xc on the turn, I guess we fold river unimproved.