You've probably done all this, but here's what I do when things get damned hot:
Replaced standard bulbs for LED's/fluorescent bulbs. Less heat generated.
Turn off anything that generates heat that we don't need at that time. That includes TV's, Computers, Stoves, unnecessary lights, etc. Refridgeration is a requirement; watching my wide-screen with a Blu-ray movie isn't. If I'm using my computer, I put it to sleep if I walk away and turn off the screen... With a SSD, start up is so fast I just shut it off - or just read a book instead.
A dehumidifier is possibly in our future, as well. A low humidity 84 is better than a higher humidity 80.
Small fans. Move the air more, feels a bit better.
We added venting in the roof, and an additonal layer of insulation - it's made a difference in how well our old a/c system has been able to handle the heat. thing
I would consider Gazpacho instead of cooked soup, too. Salads with cold cuts and cheeses instead of baking a Meatloaf, that sort of idea...
Meshed-backed chairs instead of sitting on the leather couch...
No shoes unless going outside. Kinda amazing how much heat the Tennis shoes help build-up...
Back in the day when we didn't have AC at all, we would take cold showers to shed the heat. Got through some summers of 100+ degree temperatures with saturation-point humidity that way. Would hate to do it now; I've gotten too acclimated to AC...
Again, not giving advice, just sharing what's helped in my situation in the past...
We generally run things a bit warmer than others do, feeling that being at least partially acclimated to warmer temps is an aid to dealing with it.
I feel your pain, Dennis. Hope you find a solution...