I think you almost have to 3-bet pre-flop. Some players like those position raises (no names, ahem), and when a group of limpers come limping, the button or CO will raise with a marginal hand (offsuit paint, big offsuit Broadway, etc.), to chase the junk away, or get the fish to call the inflated price.
I thought I invented that play.
I wouldn't have put him on an overpair. 3-betting would show you where you are. If he re-raises you (even LP maniacs are sensible sometimes), you should re-evaluate.
And anyway, some people claim that 72o is the worst hand in poker? I say NAY! JJ sucks. So many crappy players at lower limits play hands like KQo, or K8o, or QTo that if an overcards to your JJ comes on the flop, you're likely already beaten, especially if the pot is multi-way.
What does Miller say? "Do not play timidly with these cards [QQ, JJ, TT] before the flop simply because an overcard can beat you." The difference between JJ and 88 is that we're all sensible enough to toss 88 away when it misses the flop. So many more of us hold on to JJ like a security blanket even when we know we've been beaten.