Facing min-bets on the flop after my open raise

[gisb0rne]

This is probably the play I hate facing most. I open raise with something like AK, get called by the BB, and on the flop the BB makes a minimum bet (severely underbetting the pot). Whether I hit or miss I never feel comfortable. I've seen these jokers min-bet with a lower pair, with a set, with nothing...anything's possible. What I've decided to do (whether I missed or hit) is raise to slightly more than half the pot, which is close to what I would have bet anyway. Sometimes this works, sometimes it doesn't. It just seems like the min-bet is such a cheap way to try and steal or at the least get a cheap look at the turn (if I don't raise).

Note this situation can also happen if I raise behind a limper and he calls.

What's the best way to deal with this? I haven't seen any threads regarding this topic.