wont blow
just fixed this problem on my car yesterday, you are correct about the relay, but first check for 12v at the red wire on the relay, there is a connection between the blower fan motor and the fender with the same red wire, that is the power feed from the starter(fusable Link)this connection gets bad, trust me on this my car has never been in bad weather always stored inside and it was bad ,clean real good, mine still looked like new until i unplugged it and checked, if you do have 12v @ the relay very possible the relay is bad, also I ordred a new one from GM and it was BAD!!!!!so be mindful, my high speed never worked for the past 2 years, i found this with the help of this board and old postings
Tom