We have a local group that makes QOVs. We joined the organization as a group ($30 fee, plus $5 per member per year). Nearly all of the QOVs we make stay local. We have partnered with another local organization and have presentation ceremonies every three or four months. In addition, some QOVs are awarded privately, but all awards are made through our local group.
Quilts of Valor is a federally registered name, and as I understand it, that means they have exclusive rights to the name. I'm sure they'd be more than happy to help you, though, if you'd contact them directly.