What could be causing an A/C blower motor to turn off randomly?
I ended up calling a buddy of mine who is an HVAC tech and he pointed me in the right direction to check the fan wire on the back of the thermostat. I checked the wire and it was just hanging in the terminal. I'm pretty sure that was the cause of the problem. It makes sense because there wasn't anything wrong with the blower motor itself.  

The fan wire on the thermostat was in fact the problem. I fixed the connection and it has worked fine for the last 3 years.