A fan only without running the compressor for the A/C shouldn't overload 15A unless you're running a bunch of other things. If I had to take a stab I'd say a fan is pulling no more than 200 watts. 15A X 120V = 1800 watts available.
Basically, on a 15A service you should be able to run lights, TVs, fans, etc. but just no A/C, water heater, microwave. Maybe a toaster or coffee maker with little else on.
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