[Wolfram]

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CO has capped pre with A8o and 77.

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That's fine and dandy, and it means he's a maniac.

However, you have to look at how the whole hand plays out. He goes for a 3-bet isolation on you preflop. Then he raises your flop-donk like a good boy (gives us protection), and caps it after you 3-bet. He's not doing that with TT.

Each action he takes should give you a little better idea of what his range is.

Now comes the turn, and you still have a mediocre-strong hand. You're certainly not folding, so what's your play. Well, if you want more money in the pot you have to figure out how much you do want and what the best way is to achieve that.

Since villain is very aggro, you might want 2 bets to go in. Betting allows villain to slow down, realizing that you do have something and just call. Or it allows him to own you for value when he does have the best hand and raise. So you should check/raise because he's betting 100%. The only positive outcome from leading the turn is if he goes for the FU-raise with a 2-5 outer, but that doesn't happen often enough to make it a viable play imo.

The big problem with a check/raise is that it allows him to 3-bet. Given all the action in this hand, your equity is probably down the shitter if he does that.

You should always go to showdown vs this guy. But you need a much bigger equity to raise.