What you want to do will work on MOST DAYS. There will be time when you fly to work then get socked in; can't fly home due to weather, can't drive home because you don't have a car. The shop-partner that work with my mechanic commutes to work (about 50nm each way) in his 150. But he has some advantages over you:
1. He and his plane are IFR rated.
2. If he gets socked in due to really bad weather, he can catch a ride home with my mechanic, and gets a ride next day to work then fly the plane home.
3. His sets his own work hours. If he has last minute problem with his plane or weather, he will drive to work and just get there later than usual.

If you can find ways to deal with the occasional snags, you can make your plan work.


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