i think you can discount flopped sets because he may be 3bet jamminh these on the flop a decent %% of the time. especially being such a wet board. i think his range is


Board: 7s 8c 5c Qc
Dead:
equity win tie pots won pots tied
Hand 0: 43.182% 43.18% 00.00% 247 0.00 { 8h8s }
Hand 1: 56.818% 56.82% 00.00% 325 0.00 { AcAd, AcAh, AcAs, KcKd, KcKh, KcKs, QdQh, QdQs, QhQs, AcKc, AcJc, AcTc, KcJc }

i dont know how you got 36%. even without the sets he can have that you beat i'm getting 43%. i think i like a jam here. he may even have like KK or AA without a club because your small bet on the turn made him spazz out.