I too had a mouse make a home in my blower which obviously stopped it (I doubt it could do any damage), but I also found that the connector that plugs onto the fan for power was not making good contact (could be why hitting the glove box gets it running (jars the connection??).
Once I checked it, and bent the connector apart slightly, it has run w/o problem since (1 1/2 yrs).
Always remember: wherever you go, there you are!
PCM4less,HID,DRL killer,cabin air filter,Mobil 1,K&N,LED's,193K+,