Mine is a '93 and I have a ghost problem that is similar and to make matters worse the wipers also cut out. I have traced the problem back to the ignition switch. I have had the entire dash out and even went as far as using a megohm meter to check out every conductor that comes out with the dash and every conductor that stays in the body that is associated with the wipers and blower circuit. The only common point that I was able to find was the key switch. I never did figure out how to get the damned thing out.Both myself and my father have a bad habbit of having rediculously large amounts of keys, although not enough to be janitors
If it is just the the blower, check the resistors. It could possibly be the blower failing depending on the age and usage, the motors use non-replacable brushes.