Mid-pairs late in tourneys

A situation I have been in a lot lately is a hand of pockets 9's, 10s, or jacks late in online sit & go's. What do should you do if you have a medium stack and get in a confrontation where someone has you covered. Latest situation, $10 sit & go 6 people left top 5 pay. Blinds are 200/400 50 ante. I am utg with 10's and a stack of 5800, slighty above avg. I make 1200 to go and get re-raised another 1200 by a weak agressive player who has a stack of 12000. This is the third time I have been in a simialr situation in 2 days and I lost the first two after going-in pre-flop against overcards. What I want to know is, the obvious argument is either push-in or fold, but what about calling and going all-in on the flop. It is one thing for someone to call an all-in with 5 cards coming but a little more difficult when 2 cards are coming. Tell me what you think.