Are there any tube amps that don't give off any---

No reviews yet, but the amp you seek is the Entropic Anti from Unicorn Audio. It uses tubes hand made in Utopia from pure unobtainium alloy imported from Krypton.  

The tubes our amps utilize are called, "thermionic" because their cathodes must be heated, to emit electrons.             Thus far; no one’s developed another method, regarding vacuum amplification/rectification (except, perhaps, Unicorn Audio).

If you use a higher efficiency speaker you can generally use a lower powered amp.  In addition, some designs use less power and put off less heat.

LTAs run relatively cool.  The other amps that run cooler are the current Bob Carver amps. Neither are cold but both run dramatically cooler than traditional tube amps.   

I see MC is up and Atom.. That's planet "Uranus", runs VERY cool, but a slight, "outhouse" smell as the day goes on..:-)

NOW

I don't know what your winters are like, but I swap my tube amps out in the summer for class Ds. I use Valve amps in the late fall, winter and spring (cool summer nights if we have any). It keeps the house quit toasty, when I really get going.. I use a Mac preamps, C20-C2500s, all valves.

Have the best of both worlds.. No idea on your speakers, and the actual room size. 

Mac has a hybrid. Valve pre section, and SS amp section. They run pretty cool. They will provide you with running temps too. They always have good data, just have to know where to find it.. 

Personally a valve pre amp with Valve/SS power amps, nothing better.
Next in line for the money, a GOOD integrated, tube pre/SS amp section.

I wonder if anyone is making an Integrated with a tube (valve) pre amp and Class Ds for the power amp? I'm sure they are out there. Easy enough to do it with separates.

The valve in the preamp can get hot to, 6SN7s get hot, a lot of preamps use them now too..Carys, and Freya +, I love them, but they run HOT...

Regards