Battling the limp fests

Typical 1-3 rec player trying to amp up my game and trying to be more aggressive.
So, there's four limpers after the blinds. I'm in the cutoff with A-10s or 8-8.
There's $16 in the pot. I raise to $30-$35 to counter the limp fest.
Blinds fold, only one sticky limper calls. He's known to be curious.

The flop is J-9-3 rainbow. He checks. What is the best play?