Reads or stats would help.
Anyway, I fold it preflop. Maybe I'm a nit.
On the flop, your options are c/f, c/c, c/r, or b/f.
c/f is pretty weak, but folding second pair can't be that bad. Not my first choice though.
c/c is ok, especially if villain plays really straight forward. He'll check back a lot of flops, and you can actually value bet the river or snap off a bluff from a busted draw/air.
c/r is meh. It's a drawy flop and you get looked up a lot. You are then playing a bloated pot oop. This is like my least favourite line.
b/f is something I do basically when I don't want to c/c, c/r or c/f. Your hand is good a lot, it makes the hand easier to play than c/r and it's not as weak as c/f. However, this flop is too drawy imo, and you'll just have a lot of difficult turn decisions here.
So, depending on reads, my standard would be to c/c.
As played, I'd be more inclined to call a bigger bet than a smaller bet and it would depend on timing, both when he called the c/r and when he bets the river. If he snap called the flop and snap bets the river, I'd probably call. He's weak on the flop, which means he take a moment on the river to think about value betting a weak Q or T.