Some commuters I know do this: drive to work with the bike on a rack (not a folder...), ride home for the evening, ride to work in the morning, drive home in the afternoon. That can work to a nice pace but breaks down a bit if you wake up some morning to a torrential rain and your car is at work.

Another pattern is to drive a considerable distance and complete the commute by bike. Unfortunately with your more direct, bike trail route, this probably won't work.