1/2, 6 handed, hero (250) has losingish image, V1 (covers) playing loose/passive but tightens up post and has always been strong when betting, V2 (150) new to table very loose passive pre and post, playing pretty much every hand.

Hero has TT utg, raises to 15. V1 calls on BTN, V2 calls in blind.

Flop (45): 674

V2 checks, hero bets 40, both call.

Turn (165): A

V2 checks.

What now? I could continue and bet something like 110-120, though the A concerns me a bit. Both villains have very wide ranges full of draws that might (but also might well not) call.

The alternative is checking and risking the next card, which is very risky here. But I also don't want to be drawing almost dead to someone with any A, like any Ax, A6, A7, A4, A5, and even A2/3/8/9/K/Q

So, hero...?

If he has AK/AQ/A9/A8 in his range then you are still doing fine here as he should have lots of other misses too.
Generally though you're going to move him off worse hands and only get called by better (or ones with still very good equity) so betting doesn't really do you that much good.

I'd check the turn, bet blank rivers and would have to decide (mostly folding) if he donks into my on the river.

^ This, imo.

I like betting the turn just enough to put V2 all in, so $95 - I think he's committed to calling with his draws which is good for us. If V1 also comes along then we can probably check-fold river because I think he's rarely bluffing, especially if V2 is all in and there's a dry side pot.