Looking for a low heat tube amp


Outfitting my home office down here in NOLA and looking for an integrated tube amp that does not give off extreme levels of heat. Room is 10x10' with a southern facing window. Room already gets warm so I am looking for an amp that can provide at least two inputs (tuner and computer) but not turn the room into a sauna like my Dynaco setup did. Starting from scratch but would like to keep my Energy AC-300 speakers (90dB). Not a all turned off by a project amp or a sleeper chi-fi unit. Trying to keep the unit under $1000. Any assistance would be greatly appreciated. 

Needs/wants
- low heat
- minimal wattage needed
- two inputs
- remote control would be awesome but not needed
- capable of running my Energy AC-300 (90dB @ 1M/2.83V, 6 ohms nominal)
cleanrodney
Music Direct sells the Jolida FX10, el84 output tubes and 12w per channel for 699.00.  That’s about the least amount of heat you’ll get with enough power for your speakers.  Remote too as an added bonus.
You might also consider installing a vent in the ceiling, especially if you have a southern exposure. 
I am currently renting so adding an additional vent is not an option but I could route the airflow a little better with a different vent cover. Thanks for the tip.

The Decware and the Jolida are solid options.

Thanks guys for the help. 
I was also going to suggest an el84 amp. Also maybe some good window coverings.  
Music reference makes an el84 with good power output, not sure what the price is.