You had time restraints on that hunt and had to be out there then and you had to hunt that exact area.
As a predator hunter, I don't. If the roads are loon fecal material I can hunt other areas. If I get to a place that I can't get through I can go someplace else or hike across it to hunt the other side. I have no problems hiking in or skiing/snowshoeing in the winter. I used to carry a mountain bike on the back of the van. Washington had a lot of hunting behind closed gates. Mud and chains go together quite well but if it is a traveled road I see no reason to tear it up if I don't have to. I hunt alone most of the time, I know what my trucks limits plus I go very prepared, tire chains, log chains 3/4 nylon ropes, two large winches, shovel, ax and ground anchors. I rarely get stuck enough to need them.
The bike is mainly for the mileage, sand is even worse on the bike and I still have to stick to the roads. There are some washes that I can cross with the bike but again I don't like taking chances that I don't have to.