The noise from window-type A/Cs are really not a big deal. Just a few nights with it, you'll find that the drone acts as white noise and can actually help you sleep. I experienced this the first time we switched from a window-type to a split. Took me a couple of nights to adjust to the silence.

Humans are very adaptable. The noise from a window A/C is just superficial and will "go away" in time. That is, your brain will learn to ignore it eventually.