We've given it a go, and I think I'm satisfied, especially at this small 1/150 scale. I still need to trim the outer edges. On my first attempt I used water-dilluted Gorilla glue, but it turned into a pasty mess. So, I tried again using my standard CA glue and once generously applied with a throwaway paint brush the entire structure became solid, like plastic overnight. I like how it should remain taut without me having to tension the dead-eyes, etc.
Admiral Beez's post in Heller Shroud Loom was marked as the answer