Effective stack are about 750$.
CO seems to be ok, multitabler, rather aggro, with stats like 27/14. Not much of a read though.

Preflop:
CO raises to 18, I call in BB with .

Flop (39):
I check, CO bets 27, I CR to 88, he makes it 210, I call.

Turn (460):
I check, he bets 300, I push, he calls.

I was a bit thrown off by his flop 3-bet and was not sure of how to proceed, though I expected him to fire on turn after he 3-bet the flop, hence the check to put him AI on turn.
Preflop is questionable, but I think that one needs to call raises OOP with a mix of hands, not only PP and big aces, and SC is a thing to balance my range.

Thoughts on all streets are welcome, especially flop and turn play.

I'm surprised this post isn't getting more traffic I think this is a spot with a lot of conflicting concepts working towards determining the best play. Certainly worthy of more discussion than it has had so far.

I don't like the double CR. I like the CR/flat-call of the 3-bet on the flop, but I'm overshoving this turn for the $525 or so.

AF numbers would help. If motivation for his flop aggression doesn't usually sway in the direction of free rivers/cheap showdowns, by all means, I like the double CR to trap more money in the pot because he validated his red Aces or Kings on the flop. I'll say that this looks a lot like a big heart draw with a gutshot, though. I don't wanna give a free river here, but you seem to wanna give him 2 more cards. Again, I'd need to know his FlopAF.

His 3-bet on the flop seems a little out of place to me...almost like he wants you to come along. I don't think I'm folding this at any time if a heart doesn't hit the turn though. He is aggro, probably able to put the rest of the money in and 3-bet with a hand you beat(TP or overpair w/ big flush draw). It's strange he didn't try and put you all in on the turn...I like the push after his bet there...there's something about letting your opponent 'step into it' on the turn by checking to him.

I was CO in that hand and I floped flush with .

I thought that it is a much more interesting hand from BB side, hence a reverse role post.

I agree with Droqqa, if a lot of money goes in on flop, top 2 are behind a competent opponent range.
If I were BB I would likely call flop bet and led a blank turn, but I am not sure if I am disciplined enough to fold to a raise there. That's something to consider.