I think you're demonstrating poor judgement and rushed buying decisions.
Have you ever even considered or listened to a single high quality stereo or pair of monoblock class D amps with your speakers? The newer ones are compact, sip electricity, can be left on 24/7,sound very good to excellent and run cool to the touch. If not, you're displaying poor judgment, failing to consider all viable options and have seriously rushed your purchasing decision.
Have you ever used class A amps? Yes, many of the expensive ones sound very good but most mainly consist of heatsinks. They're mostly big, heavy, electricity gulping space heaters that force us to soul search, contemplate our values, search for alternative amp solutions and, in the meantime while we're doing so, either turn down the heat or turn up the AC.
In any case, I would not advocate placing any class A amp in an enclosed space unless you enjoy melting stuff and starting fires. Have you considered a larger and more well ventilated entertainment center?
I just sense you're rushing things, not seriously considering alternative valid solutions that are more effective, safer, wiser, comparable in sound quality and won't burn down your house.
I realize it's your money, system, home and choice. Of course, you're free to ignore my advice, including my advice to double your homeowner's insurance coverage if you decide to ignore my advice.
Good luck,
Tim