Today, this situation happened 3 times:

MP opens 2.5bb
Hero CO 3bets 8bb with TT
Others fold.

Flop Th9h8s
V checks, Hero bets 66%, V calls

Turn 7s
V checks, Hero ???
- Should I bet / overbet? What if I'm check raised, how to continue?

Let's say Hero checks behind to induce and make a call on river specially if it's a brick / non flush...
River comes Qc
Villain leads 60% of the pot (~22bb in a 37bb pot)
Hero ???

Second hand was:
MP opens 3bb
Hero BU 3bets 9bb with QQ

Flop comes "QJ9" rainbow
V checks, Hero bets 66%, V calls

Turn "T"
V checks, Hero ???

Again, let's say Hero checks behind on the turn, but river comes any brick / non flush.
Villain leads 60% of the pot at river (~25bb in a 40bb pot)

What makes more sense in these hands, to heavy bet turn and try to check behind river or check behind turn and call river?