Well this is a tough one, depends on the player. Against the chumps at 600 NL I'd probably bet. There's just not many hands here that have you beat, he just happened to have one. It looks like he was trying to set up a double check-raise, which he suceeeded in doing. I mean it really depends on the player, I might check against a player known for doing double check-raises.
Espicially since its 3-way, I definetly think you have to bet and pay him off.