Tubes have to heat their filament to be operational. That is their principle of operation.It is, but that is not why tube amps run hot. I explained that earlier.
My dedicated room is a stand alone structure on a concrete slab. No basement.'Stand alone'? Like an outbuilding of some sort? If yes, installing a ceiling vent would be easy and inexpensive. If you already have an amp you like, this really is the easiest (and cheapest) solution, and its not noisy.