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You could possibly get it out without removing the dash, but i envision a lot of plastic ducting and such getting broken. IMO, it will be much easier with the dash removed. Just my two cents, but removing the dash pad on a CSM is a lot easier than on an 04' neon. Lol.
This^
I have actually changed a heater without completely removing the dash but it was a pita! You still have disassemble the center console and remove the bracing for the center of the dash, after that its pretty much only a handful more of bolts at the tops of the dash to remove and a couple connectors. Just save the headache and pul it all the way out.
no pics but it will get you in the right direction
http://www.4g61t.org/forum/viewtopic.php?f=10&t=5823
If you are trying to just get some room to get the harness out you can unbolt the blower box and pull it out about two inches to get the room you need. You will have to take the glove box out to acces the top bolts to the box.