I have something to say about your preflop range: don't you think villain would always three-bet {AK,QQ+}? Assuming villain three-bets these hands, we can actually take them OUT of villain's preflop range since he only called. Remember that villain has different ranges for folding, calling, AND raising.

Surviva already addressed the issue of including suited connectors into villain's range.

It's impossible to give you an answer here. This is obviously villain dependent. Say villain tends to get it all-in on the flop with an overpair. Obviously, we can three-bet on the flop looking to get it in. Say villain only raises with the nuts. We can assume that villain isn't raising anything less than one pair and fold the flop. My point is that there is no answer per se. It is all villain dependent. With no further reads (I wish you told us how many hands you have on villain), I'd three-bet and get it in on the flop. Most villains at 5NL are quick to get it in with an overpair and I'd imagine this is one of them.