This is a hand in a $2/$4 game in an online poker app.
I started the hand with about $350-$360 and had K♠️K♣️. A guy posted the blinds in LP, so I raised to $22 from the SB, only the BB who covered me called. I had no info on the BB. I c-bet $28 into $48 OTF of T♣️8♣️5♠️, villain calls. OTT of a 3♠️, I sized up my turn c-bet to $77 into like $104 since there's a dual flush draw OTT now. OTR of a backdoor J♠️ which completed the backdoor flush, I shoved for like PSB of my remaining $230-ish into $258. Opponent called and showed me 55. Did I overplay my hand OTR? Is a x-call line better than a shove OTR? I didn't expect my opponent to table down a set as I believed he would have put in a raise with his hand at any street esp OTT since it's very drawy OTT. I also didn't put my opponent on backdoor ♠️flushes and would expect him to have hands like KT, QT and AT a lot. Please share your insights with me guys. Thank you.