Yeah it might do okay.
It's currently 71 here with 81% humidity.
I'm driving and I'm running the AC and the first cut off the vent temp was about 38° and then when it rose to 43° it turned on again.
Then it got down to 37° and then it turned off again at 42°. These are vent temps.
This is about the average for right now I suppose sometimes when it's hotter it gets lower like 35° so this tells me yours probably working just fine.