Okay so this is fairly shitty hand to pick for 3-bet bluffing with. It flops like shit if we ever get called. You could argue that because villain's so tight vs 3-bets that when he does call our implied odds are really good, but meh we've made a shit stack to pot ratio for realising implied odds and we're oop and they aren't really super great because he probably 4-bets QQ+ AK.

So what you wanna do here is have a polarised 3-betting range vs this guy until he adjusts. If he's gonna fold 86% of hands to 3-bets we should even consider just 3 bet bluffing shitloads and flatting stuff like AA until he adjusts. (Exploitable Goodness) I mean there's no doubt your 3-bet is +EV with 44, but it's probably less +EV than loads of other hands you can bluff with here like KTo J9s A5s etc. So as far as your whole range goes you might want to select better equity flopping hands than 44 to use as your bluffs. You don't want to use 44 as well as these hands unless villain is just incapable of adjusting as then we'd be 3-betting way too much presumably.

I'd c-bet flop solely to target his overcards that have no spade. A half pot c-bet should work enough of the time and we can sometimes get called by AsQx etc and win at SD. I'd plan to give up most turns and not barrel into a strong range that calls this mono flop. Your turn sizing is too small when you're this deep imo.

I'd c/f river seems pretty standard.