I am seated at a table that I had participated in its opening 2 hours earlier. There has been very little if any PF 3-betting and no one has gotten out-of-line so to speak. About 75-80% of the pots have been opened with a raise pre-flop for $15 or $20.
I have no history with Villian

The villain appears to be a regular. He is a white male, around 35ish years old. He started with the maximum stack of $600 and is up to $850. He is glued to his phone and not paying attention to the players. He has opened to $20 approximately 5x’s in the 2 hours played and limped probably 5x’s. Of his opens I’ve seen 2 showdowns. One showdown he had pocket 9’s and didn’t c-bet w/ a K on the flop and a jack on the river and 2 callers in the pot. He was OOP. It was checked down. Another time I think he may have had 2 suited broad way cards. He doesn’t seem like he is into bluffing or being aggressive.
Pre-flop; the villain (UTG+1, $850 eff.) opens to his consistent $20. I put him on a range of 77+, KJs+

Hero MP calls 3d 3h
3 other callers CO, SB, BB
Pot is $95 (- $5) for rake and simplicity

Flop:As 2d 2h
Checked around

Turn: pot= $95
3s
SB leads to 65$
BB folds
V UTG1 calls
Hero raises to $250
CO fold
SB fold
V 3 bet to $410
$160 for hero to call.
Pot=$820


What is the most optimal play?

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Hero stack covers V

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you should not have raised the turn. just flat and maybe the SB will even boat up on the river. once you raise it looks like 33. what else would you be raising after checking the flop? as played I guess you call the raise and call the river. then you will probably loose vs AA. maybe you win vs QKs, KJs... villains 3 bet is also super bad but well...

you should also think about the preflop call...