I wanted to do the same thing your thinking of, having the net unzip completely. This way, during winter, I could bring a Hennessy style vapor barrier with a breather port and vinyl window to use on super cold days. Just zip it in place where the bug net would go.
The problem I found is that you have to purchase two complete zippers like the ones on a sleeping bag or coat that sepperates (special ends). Longest zippers I could find were 110". I wasn't sure if they would be long enough to fit on the Safari (probably would). I also couldn't find them in the smaller #5 zippers. The ones on eBay are hugh bulky monsters, #8 or 10.
Someone else on the forum may know how to add the special ends on a running coil zipper to remove it from the hammock properly. I finally decided to stick with the easier way to go. let me know what you find out.