This is kind of beside the point, I suspect, for the OP by now, but the key phrase here for me was “upper 80s and humid.” That’s dangerous weather.
If it was me, I’d buy the window a/c in this sort of situation. Use it for the emergency, then flip it on craigslist after you don’t need it. It would be a fast, easy sell in early June, especially since it was barely used and you’d still have the box, manual, etc.