First observation here: If any pair or good draw is in principle bettable IN position, then your opponent should be betting somewhere around 40% of all hands after you check. If he's betting more than that, then there are a lot of bluffs in there. If he's betting less, then he's trapping a lot, playing too passively or something like that.

Ok, if he's betting less, then I think you might as well go ahead and bet any hand you have. I don't see much point in sitting around checking forever there.

But, if he's betting at least 40%, I'm wondering about doing a little trapping out of position, and I think TP or better is enough. My question here is really when to consider a checkraise rather than a bet, and I'm just going to suggest roughly the following guidelines:

1) Opponent bets from the button 35%-60% of the time: Checkraise TP or better.

2) Opponent bets from the button more than 60% of the time: Checkraise top AND middle pair. Also consider checkraising any reasonable draw or A- or K-high. Against this opponent, you should also have very high fold equity on the checkraise, so you could even consider more hands than that. But I think it's safer to go with some made strong hands and then some nothing hands with outs (in actuality, your A- or K-high is probably good a lot of the time here, but if you do get a call, you generally have at least those 3 big outs)