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From your description of villain you have no chance of getting a free card [img]/images/graemlins/smile.gif[/img]
If he's going broke when you hit just take the cheap turn card.
The 'free card' type play in NL is often a flop shove (chance of opponent folding plus outs if he doesn't) but if he's not folding you did right. You can work out the equity of a free card play like any other play - enumerate the possibilities and see what comes out.
Looking at this hand again any raise by you commits you to the pot as he's pretty short. If I get time (PLO tourney) I'll work through him having AA and seeing how often he needs to fold to make a flop shove profitable as an example. May not be soon though [img]/images/graemlins/tongue.gif[/img]