I’d be curious why it’s impossible to set up a mini-split in your bedroom. That seems… Illogical. They are surface mounted pretty much anywhere externally, require a small hole to be drilled for the fluid exchange, and the mini split can fit inside any room on the wall or ceiling. Power shouldn’t be a problem either as that’s easy to wire through the same hole as the fluid exchange if need be.

Idk, I’m not an installer but the tech seems like you could make it work on a barn in the country or in the non-sensical backrooms - it’s not very demanding.