Powering off vs leaving on

Do a thread search on this subect in the archives, it's been discussed at great length many times.

If you amp can't run at idle without overheating, consider a different amp! There are many well made amps on the market. If you worried about Air conditioning bills, that's another thing and a valid concern.

You do not mention whether this is tube or solidstate gear.

The amp is solidstate. I dont't believe it produces excessive heat.

Turn it on in the morning, off at the end of the day. That's better than cycling many times a day. The other choice would be leave it on 24/7. One problem with 24/7 is there can be many short duration electrical spikes a day not to mention one long one that may end your choices pemanently. Good luck.