I get bitten while riding my bike, bitten while my arm is out of the car window driving at 30km/h, and bitten through jeans. 100% DEET (you can get it in Alaska) does the trick for about 30 minutes before you have to re-apply - and it's nasty stuff.
This past weekend I was camping at a music festival and slapped my arm casually, and killed 14 mosquitoes with the one slap.....
A fan? That will do nothing.
The mosquitoes will mostly be gone in another month, then it's No CM and black fly season, until it gets below freezing in ~September.