There are plenty of trails that are open to bikes in Jackson Hole.

Easy
While biking on the trails in Grand Teton National Park isn’t legal, biking on its roads is very much allowed. Rent a bike at Dornan’s in Moose and head for a dirt road to the north of the main highway just past the Cottonwood Creek turnoff inside the park’s southern entrance. The road first takes you to the old Bar BC Ranch before cutting close to the Snake River and paralleling it for miles. It is wide, generally in good condition and has very little vehicle traffic on it. If you plan ahead, pack a picnic lunch and grab a piece of bank alongside the river. Better yet, bring your fishing rod for a wheel and reel adventure.