Got the chute made up today! Here's a pic of the line termination. I tried to keep it neat.
The line used is 30lb braided fishing line. It's super strong and doesn't have much if any memory. Not very flame resistant though...
I followed this method:
Except I had 8 lines. I brought each individual loop together and tied a small overhand loop in the end so I had 4 overhand loops at the end of each pair of shroud lines. I then put them carefully onto a small split ring and then onto a snap swivel.
I wrapped it all in masking tape to keep it neat.
I made each of the shroud lines 1.5 times the diameter, which for my 30" chute is 45". and since I was doubling the lines, getting two shroud lines per string, I doubled that as well so I used about 90" to make each pair of lines. But now I'm wondering if that's too long.
I seem to recall that the 1.5 times rule applied to the inflated diameter of the chute but how the heck are you supposed to know that?
Anyway, just dragging it around the shop it seems to inflate well and even.