So I pulled out the instructions, procured myself a DAMP cloth, as described thereon, and set about fusing down the woven strips on the dragonfly quilt. Damned if it didn't work! The whole thing is stuck down in an extremelhy sticky way, and it all seems likely to stay put for the duration.
So it's small victory time around here. Except I have approximately zero concept of how I'll quilt down those strips. Because if you think I'm outlining each one, I hope you're sharing what you're smoking.