I like the way the Blackbird I just got does it - the zipper is not on the bug net at all but a few inches into the fabric of the hammock. There's enough hammmock that leaving the bugnet open and out of the way doesn't affect laying in the hammock.

I have a silk hammock and will use some loose hanging gauzy material for a bug net - going to put pockets along the edges and velcro at the ends to seal them up.
"In the beginner's mind there are many possibilities. In the expert's mind there are few." Shunryu Suzuki