Felt would probably work material wise, as well. You would just have to cut holes for the clips.
It does make the area below the hammock a bit shady, though, because it's not holed out like the other typically used fabrics. So depending on what you want, that could be bad or good! Joanne's is having a sale right now and I got a yard of some nice terra cotta brown felt for like $3.
I personally feel like the seaweed clips might not be strong enough, depending on how big your beardie is, but then again it could work. I really don't know. Good luck to you, though!