Tricky hand in 400 NL at Commerce, facing crazy overbet

[Double Down]

400 NL at Commerce (blinds are 5/10). Been playing about 20 minutes. I have 1300, guy on my right has 4k, big stack for this game, average stack is around 1000. He is UTG +3 and raises to 35. I look down at the black kings and make it 100. Everyone folds and he calls. Not too much of a read on this player, he is tricky, will mess around with a lot of hands, but to call my raise he has at least a pair or 2 cards bigger than an 8. So 10,9 would be the absolute worst hand.

He checks blind to me and the flop comes J,10,9 all clubs. My first reaction was to bet out, but then I thought that there were so many hands that either beat me/have a good draw against me that I wouldn't be able to call a raise. So I checked to see the turn. Turn comes blank, 2h, and he immediately goes allin. Allin! Betting $1300 into a $200 pot. Very very strange move, I was quick to start to muck but then began to think about it. Went into the tank for about 5 minutes. Results to come.
PS Is my check on the flop ok?