I know this makes no sense, but it is the blower resistor. Yes, I know it doesn't compute that a bad resister would deliver power to the blower with the key off and out of the ignition. My 96 Grand had the same issue and I figured it must be the relay (behind the glovebox on the end of a cable) - but swapped that out and it made no difference. I presented the problem to the Jepp Dealership mechanics ( 3 in the shop at the time) and they were stumped - suggested the 'electrical diagnostic test' at $135 for the first hour. Well, I bought the $200 Mopar resister and TaDa - everthing works perfectly.