First off I would bet more on the flop, get more value out of it. If he calls 1.40 he probably calls 1.75 (about 2/3 pot).

When a player this tight raises UTG and calls a 3bet, you probably have to give him credit for a big ace or medium PP (like 77-JJ, maybe lower ones too sometimes).

I think you have to check river and hope for a check, but fold to any decent sized bet - he either has you beat (looks very likely he had some big ace, might also have slowplayed a set) or you have him beat, but he's not calling a bet with anything that you do. Betting would basically be turning a hand with ok showdown value into a bluff. Like, if he has KQ, QJ, JJ - all hands he could have called both streets with - then he's going to check back the river most of the time, but probably fold to a bet. He might even check back AJ/AK just because there are a lot of draws out there. He probably only bets with two-pair or better, and I don't see what he could call two streets then bluff on the river with, given his tight preflop range.

If you had any postflop info on him, that would help loads.

yeah, you're fucked, bud. let'r go.