I like the three bet. If you don't "define" your hand, the pot coud be taken away from you with worse. If you call flop and check turn, the pot is given away. Otherwise, it's a three-bet / call-and-lead. Three-bet is better for many reasons:

1. Cheaper
2. Shows more strength than a call-and-lead, since your turn bet can appear like a block bet. (more strength is good, it's easier to fold if villain shows resistance)
3. No overcard draw-outs. (AK, or someone might get a flush draw with their jack... etc.)

A three-bet shouldn't be too bad after a min-raise. It sure beats the hell out of a fold.