Since the basic idea is air circulation, if you do not want to go through the trouble of mounting a home style ceiling fan, you can just hang one of those 20 inch window fans from a “J” screw in the ceiling.
Set it on low and put it at about the 1/3 point, blowing towards the 2/3 part of the garage.
It will get a swirl going that will even out your temp.
Those fans are surprisingly rugged. I have had one running in my basement to control dampness for 7 years of 24/7/365.
I'm sorry, but this is not a great idea. It may be cheaper to install but it will cost you more in the long run.
First of all, these window fans move significantly less air than ceiling fans, and they direct the air straight ahead. So circulation will be much less and less even. Second of all, they draw significantly more current, usually at least three times as much as a 52" ceiling fan. Lastly they are noisy.
For a basement, unless your ceilings are 8' or more (or you're scary like me and will install ceiling fans low enough to cut your head), ceiling fans might not be an option. I would definitely recommend one of the circular air circulators, the all metal type that sits on the floor, to a plastic 20" box fan. OR if you can find an old all metal box fan, these are great, but draw a ton of current. Make sure to keep it oiled.