I generally don't press when sandwiching a quilt but just let it dry naturally. In a matter of a couple of hours it's dry enough to move around. During that time I just do something else. If you're in a hurry you can press it with a hot iron. The purpose of the hot iron is to dry the glue. You would need to press and not iron as ironing would potentially shift things. Even with pressing I would wait to machine quilt it until it was thoroughly dry, at least overnight. When I glue baste my binding before hand sewing it on I press with a hot iron so it stays in place quickly.

my friend and I quilt together and she always comes over to my house to lay out her quilt for spray basting. Maybe one of your friends would let you use her floor?

Yes, probably 1/4 to 1/2 cent per square inch.

I took two doors and put hinges on them so I could fold them and store them in the garage when not needed
when it was time to put my quilt together I would put the doors on my kitchen table, open them up and I would have a 72 x 80 table top. I couldn't get down on the floor, I probably couldn't get back up . Lol

If you baste on the floor, be sure to tape down the backing to the floor until the back is taut but not tight.

I have had times where I have had tucks in the back. Most of the times I was either tired and trying to rush. I have used Sharon Schamber's Method. You might want to look that up on U tube. It worked for me.

Have you seen the board basting technique? I haven't tried it but it seems like it would work.

http://colormequilty.blogspot.com/20...d-basting.html