I started thinking of a breezy net, something like a stem network. It was pretty neat, but it did not go with the focal bead in the end, when I tried to hang it on there.
I also made a think odd-count peyote rope to that has a nice twist to see if that would look good, but I missed the lime.
In the end Fiona suggested I kill two birds with one stone and make the bail into a lime-colored leafy thingy, that would solve both the need for green contrast and the need for an interesting bail. So here it is!
I was especially happy when I put the finished net right on top of the other - not bad for an accident!
For anyone who is interested in the mechanics, the bail is a loop with leaves stitched on like loose nets, and then the cup in the back is a 6-bead circular herringbone cup with increases every row and picots on the ends.