How about installing a window film as part of your heat reduction plan? It will help to keep the room from heating up in the first place.
I have a south facing office that was getting uncomfortably hot even in the winter. After applying a heat control window film a few weeks ago, the room is significantly better. I have yet to see how hot the room gets in the summer, but easily, the room feels better right now.
NOTE: The window gets hot because it's reflecting and absorbing the UV rays. But the room doesn't get as hot. Don't accidentally burn yourself placing your hand on the window on a blistery hot day.
Tip: Don't pay exorbitant costs for windows applicator spray. Make your own with 1 tablespoon baby shampoo to 400-500mL tap water (depending on whether you have any left over when "topping up). $5 buys you a full bottle of baby shampoo which will make more than you need vs approx $5-6 for a single spray bottle of windows applicator fluid.
https://www.youtube.com/watch?v=B22QdNHtb_8
I found this video the best. Most of the other ones were a bit lacking in their explanations.