https://www.google.com/search?q=trailblazer+shim+ac+clutch
I actually replaced the clutch on mine.
but you can start with removing one or more of the little washers which serve as shims.
pretty simple, in a complicated way.
(if I recall the hardest part is getting to the front of the compressor. I pulled the fan clutch from the water pump, and pulled the radiator fan shroud with fan and fan clutch to get more room to work, pulled fan belt, then had plenty of access.)
you might be able to get the clutch off the pulley without pulling the fan and shroud. just need to get that hex bolt out, and the clutch comes right off. you may want to use a feeler gauge to check the gap before you start.
if you need to change the clutch, coil, and bearing, you need a good pair of snap ring pliers and good luck to do so on the truck, without opening up the r134 lines, but it can be done.
I found the clutch on E-bay from airpartsinc
http://www.ebay.com/usr/airpartsinc?_trksid=p2059210.m2749.l2754
they set up a private item for your needs. clutch was around $70 a couple years ago.