Lagging it up w/ 97s -- Take a free card?

[billyjex]

Stars $109. Something like a 100 runners, its still fairly early and I'm sitting with 1200 chips. No reads on BB, we hadn't clashed yet. He has about 2500 in chips.

Blinds are 25/50.

I am dealt 9s7s in MP1 and raise to 150 because raising is fun. Folded to the BB who calls.

Flop is Kc 9c 8d. BB checks, I bet 200, he calls.

Turn is the 5s. BB checks. Pot is 725.

Should I take the free card here or bet? I was conflicted because I feel another bet could push him off a JT/pair of nines/pair of eights hand that he might have peeled the flop with, but it's going to cost me nearly half my stack.