I try to avoid backpacking when I have to worry about heat or bugs, but there are times when you have no choice. On a mid-July try to the Dolly Sods Wilderness I had a chance to use my Dutchware Half-Wit Hammock for the first time. It worked great, was really comfortable, and the bug net kept the bugs away from my face and arms.
The Half-Wit is a 10.5-foot hammock with an integrated half bug net – it hangs down to your waist and drapes there to keep weight to a minimum while allowing you to function in the hammock. Here’s a photo:

If you need a hammock with a permanently attached bugnet you should consider one of these.
Other than living near their operations in Lancaster, PA, I have no association with Dutchware Gear.