Kent, a few thoughts:
1) I've used an air conditioner setup like you describe. It actually works pretty well. The issue I had with it is that when the passengers show up and you have to turn that thing off and put all the pieces away and wheel into the hanger, etc etc the airplane has heated up again by the time you start.
2) Does the local FBO, or whoever supplies you with fuel, not have a GPU that you could use? Even if they charged you a small fee (which they shouldn't, if you are buying fuel), it might be worth it. Especially if it comes with a line guy who can pull the plug after you have the door shut and engines running.
3) Does your tug have a GPU option?
4) When all else fails, I just tell the people that it's going to be hot for a few minutes, get the engines started promptly, and turn on the air conditioning. With the Keith freon system, it's very effective and the airplane starts to cool right away. I remember hot days in the 1000 with just the Sundstrand and 7 or 8 people, and that was miserable. Today with a few people and the Keith freon system, it's really quite reasonable.