Height is a factor for many of the hi-fi racks that are happy with ss gear, cd players etc but not for big tube amps. I had to lift off a shelf, put in the ZP3 and replace the shelf. The limited headroom meant that I taped tin foil to the underside of the shelf above it to help dissipate the heat from the amp and stop the shelf getting hot. They were early days with Decware and I`ve since move the amps to one platform where they can all get warm together with unlimited space above.
Regarding the room getting uncomfortable with the heat from the tubes. I`ve got 4 amps running in a 12x9ft room. Winter time I still need the radiator on when it`s cold outside ( UK cold, not US v/cold ).
Springtime when it`s still cool I`m not thinking more heat which I may for the rest of the house. Summer when it`s hot outside the room feels like it`s gone up a few degrees, but as I listen in the evening it`s all good. A window and a door open trying to find a little breeze is a perennial pastime.

With one SE34 running I doubt you`ll notice any change.