5.50 How do I play this JJ on the flop?

Thanks. I pushed this, as I had about the size of the pot left in my chip stack. Then I thought, well who the hell is going to call a push except the guy who has me crushed? Not a smart play.

J-J is giving me fits lately at the 5.50s and 11s. No one is folding to a raise and more than half the time I can expect overcards on the flop. I'm wondering if I should just push pf or play for set value. I literally curse every time I find myself w/this hand in a full ring.