He thinks he has you right here, first a smooth call to your flop re-raise and then an all-in re-raise. If he had the goods he would always smooth call and wait for your lead on 4th. Classic situation whenever he thinks he has best of it, now does he think his JJ, QQ, JT..... beats your two pair or does he have the straight??

Tough spot, but like u said u just doubled through so call him with his money and see if you cant stick him deeper than cow [censored].