Does this hand play itself, or do we find an alternate play?

Eff. stacks 175+, I cover.

Hero has 8T in the BB, checks option with 2 limpers and the SB completing.

flop 78Tr. SB checks, Hero bets 7 dollars into 7 dollar pot (12-5), two players fold, and SB (Villain) raises to 14. Hero flats. This villain is particularly cally, (Table has been LP for hours, and for him to be particularly cally on this table really says a lot, and adds to the read I get with the min raise). I don't know that my belief is from selection / sample bias, but a min raise has indicated to me to be a strong hand, if done by LP players playing 1/2 - 2/5.

Turn 5, unimproved. SB tank checks, Hero checks back. I expected a lead from a check-raised hand OOP, but I am not in love with my hand anyway, and would rather pot control Villain's awful slowplay. I am not paying off a large bet on a river regardless, the fact that Villain showed interest enough to command a bet size has been so out of character, and for such a little pot, that I've had a few red flags raised in my head. Call it pot control, drawing to the full house, honestly the intention was to minimize stack exposure.

River 2 blank. Villain leads for 12 (into 35). This bet size irked me, as it's clearly so value-intensive, but I cant find a good reason to fold. My range of villain's betting hands at this point is 9J, 69, 78, 8T, T7. One pair hands with higher kickers seem like they'd be check-calling frequently, so I discounted that from Villains range. Also, I don't give much credence to 77, 88, TT, and as these hands have very few combinations, may have been raised preflop? (I suppose I can see villain set-mining cheap pre, but I don't see a set checking a turn to go for such small value when the turn check fails), and missed draws with SDV like 79, 9T, would in my mind have been checked by Villain as well..

As the tone of the thread suggests, Villain shows a flopped straight [69o] and I muck.

Can we b/f turn, and/or do we want to?

Hand looks fine imo.
We are often beat but he can tool out here with AT occasionally.

If the river was bigger it'd be a fold imo.

Hate it. Bet/fold turn, raise river for value. Think you have this villain ranged way too tight. He is not repping his actual holdings at all. We are just throwing away value by checking back this turn. Also betting turn gives us control over river betting. At any point we can fold when villain re-raises because he is never bluffing.