Have used Hex blunts and plain steel blunts, but my favorite for rabbits is the cheaper Bodkin type three blade broadhead. Even after a few miss's, the not so sharp head still does an excellent job on bunnies. Short recoveries are the norm.
Headshots obviously give the shortest recoveries, but the way I shoot sometimes, headshots are often more good luck than good shooting
Actually might go and see if I can find a bunny after work this afternoon, sounds like a good plan, haven't chased them for ages.
Best
Lex