This is one spot where you have to play the player. When playing micro stakes, Villain's tendencies can vary widely. If you're playing against a splashy aggro guy you could 4-bet. But against most players who 3-bet at micro stakes they have overpair or AK, at worst AQ. Population's 3-bet range at micros is extremely tight unless you are up against a lag, so watch their 3-bet frequency. Against a maniac, it's an easy call. So you probably just flat and check-fold to any A or K on the flop. If you hit a J though, you can check-call check-call.
Stacks will matter. If you have him outstacked say 3 to 1 or more you can just put him in. If you're short JJ might be your best chance? You also want isolation here but with this many chips throwing down pre it will be difficult to not get that. : P
The size of the 3-bet as well makes a difference. If they raise min it's a call because you're not laying down those pot
odds with a prime hand, no matter how vulnerable JJ might be. Once it gets up near 3x raise it certainly makes you sweat, but again, player type. Splashy player is going to raise this 3x fairly wide, right? Maniac could even have A-rag or lower pocket pair, right? But if Villain basically has a history of no previous 3-bet frequency and suddenly jacks you up 3x, it's probably flat or fold. Remember, it's a tournament, right? Cash game might be different.
It is a tough spot though. I'm sure that someone with more experience and skill than I can give a better answer.