I used to use a recurve to hunt small game, actually more for getting out in the boonies for relaxation. I used cheap arrows and field points, that way I was not out too much when I screwed up an arrow or lost it.
I only hunt them with my bow now. I just use field tips with those varmint attachment blades screwed in. You can get a bag of 5 or 6 for just a few bucks at bass pro or academy.
I use broadeads that i've already shot either the taget or an animal with. I shot a javelina last week and ended up killing six rabbits with the same arrow and broadhead the next morning. And as far as damaging your arrow it depends what kind of terrain your hunting in
Ton of fun if you've got a bunch around. I usually get to eat a bunny or two that strays by my stand during deer season and I use a bludgeon head to take them. I miss the lease I had where they were all over.