It was mid-90s here in Winston-Salem yesterday. It was below 70 at the Fox Creek trailhead yesterday after the first big thunderstorm came through. (Of course, it didn't get any cooler last night -- just plain hot and humid all night. I just lay there on my sleeping pad and dripped.)
I'm pretty sure it was Bob Peoples who introduced me to the concept of "ten before ten and five after five" for summer hiking -- that is, hike ten miles before 10:00am, and five more after 5:00pm.
Get up really early -- the first hint of light in the sky. Pack up quickly and hit the trail as soon as it's light enough to hike. Walk for 4-5 hours. Find a nice place to hole up during the heat of the day. A shelter is ideal -- shade, a table, and (usually) water nearby. But a shady spot or maybe a nice overlook is also good. Set up a tarp for shade if needed. Drink a lot of water, take nice nap, do any needed camp chores, and eat a large meal mid-day. Drink more water. Late in the afternoon eat a small meal and start hiking again. Hike for a few hours until you find a decent camp site and go to sleep.
The ne plus ultra of this technique is to do it in Shenandoah National Park. Take your afternoon breaks at the waysides or the picnic areas -- water, bathrooms, sometimes hot meals and cold drinks, nice shady spots to sit outside, and tourons from whom you can yogi yet more food. Paradise.