I was just thinking about how to do this.  I have a thermarest Neoair and bought their pump which is very similar to the one you're using except that that bag is shorter and more square (easier to use in a tent etc.)  I was blown away by the simplicity of the pump and how incredibly easy and fast it was to inflate the mat.  However, the bag is just heavy plastic and although it made it through 3 weeks in WCPP I would like to find something more durable to carry as a bag and CTF3 sounds perfect.  Thanks for the tip.