Blay, You accomplish that task by opening one faucet at a time. I have been doing this for 9 winters now and have not had a problem. I used to have a different trailer with a nice valve that allowed me to pump out of a gallon of pink stuff. Got my Airstream and things changed. Contacted the local dealer and they told me just to use air. They have been doing this forever and have never had a problem. I expect the Airstream clientele would let them know.
Drain the HW tank and then bypass it. Hook up the air and open up every faucet one at a time. Open the low point drains and the outside shower. Let the pressure build up again and repeat the process. Empty the gray tank and then add pink stuff to all the traps. Oh, don't forget to blow air through the toilet valve too. I take off the spray faucet on the kitchen sink and the filter from the kitchen sink faucet as well and take them inside for the winter.