John, the temperature here in Nicosia, Cyprus, can easily exceed 110 of your Fahrenheit degrees in the summer (42 degrees Celsius) and humidity can sometimes be stifling. The temperature inside my house when I am away at work and the airconditioning is off can easily be even higher than that at noon in the summer.
All my important recordings are on 468 tape (Agfa until the early nineties, BASF/EMTEC thereafter, RMGI since 2005) and all sound as good today as the day I made them, despite having been stored in my house in the above conditions, some of them for over a decade.
I don't think the weather conditions you have described should prevent you from becoming a TP subscriber.
Having said that, I am soon going to begin storing my tapes in better conditions. I understand it is possible to get, for a reasonable amount of money, wine coolers (refrigerators) which can store, say, four dozen bottles of wine at a presettable temperature anywhere between 39 and 65 degrees Fahrenheit (between 4 and 18 degrees Celsius). The higher end of that range should be perfect for storing tape.
With best regards,