After the minor accident, I've been troubled what would happen if I had had a really hard impact? The camera slipped out of the mount with just a minor hit, a major hit could cause the camera to really fly and not save the file. After a lot of thinking of how do I hold the camera in place with an improved mount I realized that the answer was just use Zip-Ties.
I found some 4 inch (100mm) Zip Ties at a local electronics store. The ties are about 1/8 inch wide (3mm) and don't block the USB connection or the memory card. If for some reason I have to take the camera off the mount, I'll have to replace the zip-ties, but given that the ties are so inexpensive, I really don't have to worry about the cost.