You need to find some responsible buddies that already hunt to take you out hunting. Your parents are probably more concerned with your safety more than the fact you are hunting. Being in good company is a good way to earn trust. If they are really against it for moral reasons good luck.

If you get a crossbow I will give some advice. A crossbow is a cocked weapon and should be treated like a firearm. Don't be walking around with a loaded bolt. Be aware of what's around you when you shoot it. He very careful to not dryfire it and watch your fingers. Lots of warnings I know.

A compound bow would be a better bet for a beginner shooter in my opinion since I believe you have little to no firearm experience. If this is not so disregard my last statement.