Hey there. Been working on a similar issue. Are you sure the compressor is not kicking on? Mine blows hot when I am not moving, my fan for the ac condenser is not running. I just returned the relay I got from autozone today, but I was opening up the TIPM when a monsoon rolled in. I will let you know what I find. There may be relays in there?
Here's a link to my post with another issue that may interest you.
Hopefully we can get this figured out!