I hear gun fire all the time. I live in a rural area as well. If I see a pick up truck on the side of the road in a random location...probably hunters.
Ride on Sundays. No hunting on Sundays. Wear an orange vest. Put something on your bike to make noise as you ride it. You should be fine. Bullets don't travel very far in a forest and deer hunters are usually in tree stands so the bullets or arrows are headed downward. Hunting accidents are rare.