CheshireCat, within a 'normal' price range, this is perhaps the kind of place to look for - a terraced flat. The design of these types of buildings usually gives more privacy:
https://www.newhome.ch/de/mieten/imm...=1&skipCount=0

You'd put the fan/condenser (whatever the exterior thingy is) outside on the terrace. No one is likely to see or hear it. Buy a second door to cut access for the cable, replace the original door when you leave.

The listing above is Pfäffikon SZ, in your target tax range.

Alternatively, a bit pricier, a single family home in Baar ZG:
https://www.homegate.ch/mieten/3000518100

This was mentioned on another of your threads, but bears emphasizing - look in Zug. Only a minuscule tax increase at most income levels, and sometimes better for the top ranges. Zug tends to be far more foreigner friendly - and attitudes often a bit more laissez-faire.

And - get your relocation people on this. Make it their job to find a place that meets your needs, including getting permission and getting the AC installation done. Locally connected relo people could get this done where you, a newcomer, might not be able to.

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To all reading this thread - the OP has said in other threads that he has a condition where he simply cannot tolerate heat. Most people here probably don't really understand what this means, and so dismiss his need for AC as unnecessary. Look at it this way: Imagine if you were not allowed to heat your home at all. Would you be able to live like that through the winter? That's the level of discomfort - heck, unliveability - when one has a serious heat intolerance.