Rich, not sure if you are knowledgeable on the window type a/c units, I'm no a/c technician, but the last time that happened to me, about 2 years ago, I thought the same thing, fan motor. Upon further investigation, I determined by using my digital multimeter, it was the dual capacitor. Exact part for this 2002 kenmore 8000 btu unit, which is now in its 10th season, was $40 or so, if ordered from Sears. Did not have time to wait, so I went to a local supply house and sourced one almost identical in specifications and shape/size, that was a whole $12.00 or so, and its been working since late summer 2010.
The other thing I never realized until I took this apart this year, clean and check things out, was how clogged up the condenser can get. (coils and fins like a radiator on the outside, evaporator is on inside coils and fins if I remember the correct name for each and what it does LOL )
Compressed air, and you have to be careful not to flatten the fins, would not clean this, it was like a layer of felt on the inside face of the condenser. I had to carefully make some room, use a hose and clean it, it was almost blocked right off.
This has to be one of the most overlooked things on a window unit, I suspected something because the weep for the condensate would clog or reroute over the edge or another hole to drain out, sections of that thick felt like dust would fall every so often. I saw what needed to be done once I looked in there, also the styrofoam insert where the cold air blows through was covered in black mold, so I had to deal with that as well, whole afternoon on this sucker, but now I know its clean and it performs like new, seem to notice the increase in air flow and the air seems a little cooler. I think the mold was from shutting the unit down in humid conditions, like at night once cooled off, the condensate never dried, so now I turn the thermostat up, compressor goes off, fan runs and dries up the remaining moisture before it is shut down.
I now realize the value of taking the cover off and cleaning a window a/c unit, vs plugging it in and hoping for the best, and you know if its going to malfunction, will only happen when 98 deg F and 100% humidity LOL !
Remember the stiff double ended tooth brush in military rifle cleaning kit, they make a perfect fin comb so you can straighten those out and eliminate hot spots in either the condenser or evaporator if they get mashed, always happens on the exposed end of the condenser, that tooth brush makes short work of what could be a time consuming task without some sort of tool meant for the job.
Hopefully some help, hate when there is no place to cool off, especially at night when the day is done.