Some people do soak a motor in alcohol and then fire it up (and fire might just be a good word to describe what happens).
I have tried brushing lots of alcohol into a motor and then running it, and it does help. I would do it as a last resort if getting the motor out of the engine, or getting the motor apart were just impractical options. But I'd rather pull out the armature so I can see the slots and really know they are clean.
In this case, since you are giving up on the motor anyway, my scientific curiosity would spur me to want to see the slots and measure the winding resistances to see how it really failed.