Here in Michigan, I ride trails two to three times a week. I see deer, turkey and other non-game species all of the time. It's a great way to get outdoors and see wildlife.
I have a friend that rides his bike to his hunting stands. His family owns 200 acres near Kalamazoo. He has shot two of his biggest bucks on the way to his stands.
Basically, he said the deer didn't mind him getting close on the bike.
Sounds like a fish-story, but he sticks by it.
Don't focus on the destination, Enjoy the Journey