TT in the SB - fold or push?

[mgsimpleton]

Ok I don't have the hand history, but I'll just sum up the situation.

2/4 on Party

Hero is SB with 10 10.

MP1 raises to 8, Button calls, I call, BB raises to 25, MP1 calls, Button calls, I call.

Flop is 887, two spades.

I check, BB checks, MP1 checks, Button bets pot (100). Button has 100 left behind after the bet, I have about 300, and BB and MP1 have me covered.

Is this a fold or a push?

I thought for a while and I couldn't place Button on a decent hand... maaaaaybe jacks, though the cold calling of the min raise preflop when everyone else limped is suspicious with jacks. I knew it wasn't a bigger pair because he had cold called two preflop raises. I was thinking that on such a raggy flop, the pair could be 99 or even lower - with the two little raises preflop, we had all been priced in to call for set value, so it really could have been 22 for all I know.

I eventually folded because I couldn't help feeling like I was walking into BB's check raise on the paired board with the big overpair, and he had a lot more money behind.

So I folded, and BB and MP1 folded almost instantly as well, which didn't make me happy.

What would everyone else do in this situation?