Check/push a bad idea?

Pechanga Casino $100 buy-in No Limit 9-handed
Blinds $2/$3 (Jeeze, now I remember why I like playing online so much)

Hero has been playing tight-as-all-get-out (probably not a good idea with those blinds, but that’s another story) and has $85. Villain is drunk and playing a very aggressive game (although just about every time it's gotten to showdown he's lost). He has $135 thanks to a few blind steals and opportune flop bets. I'm two off the button and get two red 10's. It's folded around to me, and I raise it up to $10 (damn $5 chips). Cutoff folds, and villain (on the button) cold calls. Blinds fold. Just the two of us to the flop, which reads;

Qs,10s,7h

I check, and villain bets out for $40. I push. He insta-calls.

I know I should be jumping for joy, but I don't think check/pushing was the right play here. But I may just be a n00b.

Thoughts? Should I have just pushed and made him call a bigger bet?