Part for DC Fan in EagleCAD
Should I stick with using a motor, or should I opt to find a library
that contains a much more intended symbol for a fan elsewhere?

You forgetting the third and simplest option - just create your own symbol. You can also add connector footprint for it to be ready for PCB design.
Seriously, I don't recall any more or less complex projects where I did not need at least one custom element.