The offense would probably be dealt with on a state level, unless you were hunting on federal land and you were caught violating federal law.
As for carrying while bow hunting, I'd be all for it if it were LEGAL. Keep in mind, as RESPONSIBLE LAW ABIDING citizens, it is imperative that we OBEY THE LAW. With the ongoing battle between gun owners and anti-gun folks, we don't need to be giving them any more reason to further impede our rights. Many of the laws prohibiting carrying a firearm during bow season were made due to people not playing by the rules.
If you want to break the law, that's your choice and YOU will have to face the consequences if you are caught. It comes down to hunter ethics and responsibility. Be responsible to yourself to obey the laws and behave ethically while in the field. There's no referee out there to make sure you're following the rules. In my many years of hunting, I've only encountered game enforcement officers a few times. All of the encounters went well because I was OBEYING THE LAW. Most of the cases where I've heard people complaining about their experience was due to the offender doing something to get the game enforcement officer's attention. Play by the rules and you're encounter should be quick and painless.
I've noticed that more hikers and campers get attacked by animals than hunters. Just as you do on the streets, SA is important while hunting. Know where you are and what kind of wildlife is in the area. Have a plan in mind for the times when you may come up against an angry predatory mammal. When bow hunting, have a couple of extra arrows ready. Practice knocking and shooting an arrow while under stress, and under various conditions. You never know when you'll need your skills to make a difficult shot or to save your life.