[soah]

This doesn't make much sense. What do you put them on? The LAG doesn't sound like the type of guy that's going to let go of his overpair here. Would the weak-tight guy just call down with a set? You can probably bluff him off marginal holdings but if he's playing a big hand passively you are screwed. That turn card was pretty much the worst card in the deck for you. No matter what you're up against you've lost outs (except for A8 and K8, I guess?)

After reading the hand again though I'm confused as you said the LAG is both weaktight but also makes bad big calls. This seems pretty contradictory. I guess you're trying to say he's more likely to make heroic calls against big suspicious bets but fold against reasonable bets? I'm just confused now.

You're getting a good price to draw on the turn. I like calling there. Even if raising is +EV I'm not sure it would be more +EV than calling. But as I said, I'm confused.