Actually, thinking about it, he probably has you crushed here.
Here's the relevant information you have:
1. You're playing 10NL, usually not the smallest stakes on the site. So the players are bad, but not THAT bad.
2. Your opponent raised from UTG.
3. Your opponent saw you 3bet huge, but decided to call you anyway.
I'd say that eliminates the funny hands out of his range like ATo, usually ATs.
On the flop, he checks, despite knowing you're strong, and decides to go in for a min-raise, let's analyze this against a potentially solid range.
If he has AK clubs, he's probably check-raising all-in. Doesn't make sense to check-min raise.
If he has JJ, QQ, he should be worried you have KK/AA. If he thinks he has the best hand, he's probably shoving.
What hands is he likely to check min-raise with?
77, 66, TT, AA, 76, 89, and a complete bluff.
Considering he raised UTG, he's more likely to have TT or AA than a complete bluff.
I say fold when raised here. With AA, he could still have KK and I'd consider shipping it.