Preflop: You are 2 Buyins deep, size up that 3bet! make it like 2$ or 2.25$ - Once he bomb 4bets it's kind of an annoying spot to be quite honest - if you had AKo even folding would potentially be possible - you really wouldn't want to play a hand like AKo in a potential 4 BI pot. But well we have the suited variant and we are IP - so yeah we call - even though his sizing really bothers me.

Flop: Calling is certainly a fine play here with the BD-fdraw, that being said without the BD I would just fold.

Turn: Easy check back into realize - what is your turn bet achieving? What are you targeting? Are you really going for the tripple off to get him off chops? What if you get check raised on? - He clearly can still check certain hands that beat you. betting really doesn't achieve a lot - hence I would be THRILLED to check back and realize my equity for the tiny sizing OTF over 2 streets.

River: IMO this is pretty ambitious - you still have a non 0 amount of SDV - he could have a hand like AQ once in a while - or AK himself. By shoving you are kinda targeting chops and / or Overpairs - and people in general don't tend to fold overpairs - especially on a board pairing river.

This is a HUGE BB-Investment, this is not a hotspot where people do overfold their overpairs. Just take the 0EV option and check back, sometimes you chop, once in a bluemoon you win and if he has QQ AA KK - well he probably wouldn't have folded anyways.