JJ vs undercards

[steeser]

Mid stages of a 200+15 Party sit and go. Blinds are 25/50, and I have about 1600, 3rd at the table. I get JJ UTG+1 and raise it to 200. MP bigger stack calls, and the rest fold. Flop comes down 985 with two diamonds (I don't have a diamond).

How do you proceed?

I put him on AQ, or AJ, and maybe a mid-small pair. I pushed as I wanted to take it down there, and he called with 99 for top set and I was out.

If you bet out small or pot sized, what do you do if he comes over the top? Curious if anyone can get away from this and how.