Cool running amplifier


I'm looking for an amplifier to drive Totem Sttafs in my main great room. It will be housed inside a cabinet - ample air around it and ventilation from the back, but since I want to leave it on 24/7 I want one that idles cool.

budget is <$700 for a used power amp or integrated. I have in mind a musical fidelity a3.x, or ps audio hca. Do these fit the bill? Any others that I should look for?  

Thanks!

bdgregory
Sunfire symphonic reference power amplifier, 250 watt 8ohm doubled to 500 watt 4ohm. Auto input signal turn on is a nice ’set and forget’ feature, Load invariant technology which allows the amp to put out tremendous amounts of power while generating almost no heat.
Amps in cabinets is generally a bad idea unless provision is made for cooling. Even class D amps (the coolest running made) will make heat when you push them! Heat leads to failure so I would think about how to make the cabinet more amplifier friendly.
thanks everyone for the input. Let me add some clarification too:

The compartment that holds the power amp is ~24"h x 22"d,x 20"w. The amp sits on a shelf in the center and there is ventilation under and over. The back side of the compartment is open, but there is a glass door on the front.

I have had a B&K St140 running in it for the past 3 years and heat of the kind Atmosphere mentions has never been an issue though the 140 does idle slightly warmer than I would like, so I would turn the whole rig off when not in use.

In an effort to radically simplify for my wife's use, I want to leave the amp and preamp on 24/7. This way, she just turns on the tv, and the tv remote adjusts the volume. (Seriously, adding one more device to the turn on equation adds 5 orders of magnitude difficulty)  If we will be away for any length of time I will simply switch off the rig.

I swapped in a lm3886 chip amp for a couple of weeks (zero heat at idle or running) and it was perfect heat wise, not so much sonic wise. For now the St140 is back in place and I'll keep an eye on the heat. I would like to improve on the sonics of the St140 though, and with low/no idle heat.

The Sunfire auto signal turn on is an appealing feature. I started looking for an outboard device but so far no luck.
@bdgregory
You can try a Current Sensing Auto On/Off Outlet instead, plug the TV to ’Tools outlet’ and plug the amplifier to ’Vacuum/Accessory outlet’. , The amplifier will automatically turn on when you turn on the TV and amplifier will automatically turn off 7 seconds later after the TV is off.

https://www.amazon.com/Automatic-Etoolcity-Technology-Overload-Eliminating/dp/B07YK9VBQK/ref=pd_cp_6...