I might just deal with the heat and get a push mower
You're a better man than I Gunga Din. I got up at 5:00 AM the other day and cut grass. I've got a lot of lawn, so I've got a 54" Toro ZTR and a bush hog for the tractor. It's 109 F in the shade, and the 'feels like' temp is probably hotter than Beelzebub's ball sack. There's be no way I'd push it.