Ok, now I understand what you're trying to do! Sounds interesting, and definitely calls for pictures when you're done.
The velcro came attached to the screen when it was delivered (rolled up around a tube). There was some very minor "wrinkling" on the edges near the velcro but it all disappeared after I cranked the material tightly onto the frame. I believe the velcro is put on just tightly enough so that when stretched during attachment, the screen is just fine. No mean feat, I bet.
FYI, my frame had the felt option, so on the back of the frame, the male (?) velcro counterpart was attached to first the felt and then to the frame. I don't recall how it was so firmly attached, but suffice it to say that it is not coming off!
I can only speak for my screen, but it is definitely thick enough to not require any backing material. Certainly more than twice the thickness of a typical rubber glove! I'm telling you, it's not flimsy, no matter what the sample was like. The material is indeed textureless when viewed from more than a couple feet away. Nothing is completely textureless, but of all the screen samples I've seen, the brite white is the most textureless outside of the matte 1.0 screens.
Best of luck! Hope the screen material arrives to your liking.