Seeing as how you can purchase skins for your bombs, and more recently bows, skins should also be available for bug nets. Of course, they won't offer any advantages aside from serving as a pleasing aesthetic. Designs include: golden bug net, camouflage net, fly swatter and basic recolors.
On a side-note, you should be able to strap your bug net to the back of your character. Once again, for cosmetic purposes.
Thoughts, comments, suggestions - post down below.