Live 15/30 top set hand

[Ghazban]

I play limit pretty close to never (normally 5/10 and 10/20 NL) but decided to try it out at the Bellagio over the weekend. In general, there were never more than 2 bets on any street and very rarely more than one on the turn or river. Most of the people in the game are old and crotchety calling stations so this is to be expected.

My opponent in this hand is a bit different; he looks to be in his twenties and posted in the CO for his first hand the hand before. He raised that hand, got 3 callers, then bet the flop 4-way and everyone folded. That's all the read I have.

The hand:

Someone limps, villain limps, I raise QQ on the button, blinds fold, limpers call and 3 of us see a Q32r flop. They check, I bet, first limper folds, villain calls.

Turn is a 4

Villain checks, I bet, he checkraises, I 3bet, he instantly 4bets...

What's his range? Is the correct play to keep raising and, if so, at what point do you put him on 65 and slow down?