92! Holy cats!! I don't know the definite answer to your question, but could offer an idea that may help. Insulated/lined drapes are pretty expensive. This is what I did as a cheap frugal solution to try and keep in the heat this winter, which I don't know... may or may not work for your opposite needs. All you could do is try I guess, see if it makes a difference! If you find it does, you might get insulated/lined drapes later after doing this kind of "test".
Get tension rods to put at the top of your windows. I got some cheaper thick quilt-like material which was black on one side, white on the other. In your case, you'd put the white side out to reflect against the sun's rays. I simply used bigger safety pins to make a loop at one end and inserted the tension rod to hang up these "blinds".
It's not the prettiest solution, but the tension rods at least are easy to take down and put back up when needed. In my case, this setup fit under my other curtains. The only problem I had was with my sliding glass doors. You can get tension rods for that length, but on mine, installing didn't work because of the screen slider. (Guess I could have used big clips to hang up a large blanket, clipping to a regular rod of some sort.)