Best River Play Here?

Played this guy for few hundred hands HU. Was down 2 buyins and pulled it back from a big 3bet pot (1010 v A10, turn is a 10 and he ships A10).

Opponent folds a ton pre and only plays if he 3bets, and rarely gives up postflop. I've shown down some big bluffs FYI.

***** Hand History for Game 1451348455 *****
$50.00 USD NL Texas Hold'em - Sunday, February 22, 04:54:16 ET 2009
Table Neda (Heads Up) (Real Money)
Seat 8 is the button
Seat 3: CallingCat ( $146.05 USD )
Seat 8: YouBetISho0ve ( $96.30 USD )
YouBetISho0ve posts small blind [$0.25 USD].
CallingCat posts big blind [$0.50 USD].
** Dealing down cards **
Dealt to CallingCat [ 7s As ]
YouBetISho0ve raises [$1.75 USD]
CallingCat calls [$1.50 USD]
** Dealing Flop ** [ 3s, 8s, 4s ]
CallingCat checks
YouBetISho0ve bets [$4.00 USD]
CallingCat raises [$11.50 USD]
YouBetISho0ve calls [$7.50 USD]
** Dealing Turn ** [ Jd ]
CallingCat bets [$22.00 USD]
YouBetISho0ve calls [$22.00 USD]
** Dealing River ** [ Ac ]
CallingCat bets [$110.55 USD]
YouBetISho0ve folds
CallingCat wins $180.55 USD from main pot

I think when he calls a flop check raise and calls the turn lead his hand is often a high flush draw or a pair and medium flush draw.
So when the river bricks should I check raise him all in or check call if he shoves or is shoving myself best.
He knows Im capable of big bluffs and in this spot knows I could do this with say 10x10s.

Thoughts?

crai on the river seems pointless. unfortunately the Ace is such a plausible hand for you he probably calls almost never. however, he will be turning 8x or TT/99 into a bluff even closer to never, so i think shipping it is the best play. or you could just bet some really gay amount. i think i like that best.

you either do this or bet like 19...

It really doesnt look to me as though his hand is that strong, also given you have the As he probably isnt just drawing to some <K high flush draw.

If he doesn't have an A, which it is unlikely he does unless it's a stubborn A8 or AxJs, and they make up a small part of his range, then I don't see him calling very often at all here. Especially as you stated you are capable of thin value betting (and he knows this)

He has 60 left and the pot is 70, I think you're best chance to stack him is to get him to put the money in the pot. I think betting a tiny amount is more likely to get him to push than a check, it's more likely he'll take offense at it and shove if he doesn't like to give up post.

You might also get paid off by some random 8 whereas you wouldn't with a shove.