Parasound Zamp v.3 Runs Too Hot


I have a Peachtree Audio iDecco (for sale), running a Parasound Zamp V.3, to Totem Acoustics Arro floorstanders, and I usually play music loud because the system is in my upstairs bedroom. The other day when running my system loud for about a half hour, the amp shut off automatically and the display indicated "Hi-Temp". The speakers are 6 ohms and the amp will run 60 amps into them, so with that said, is there a better budget amp that will run my speakers loudly for a sustained amount of time without running too hot? Is it a matter of 6 Ohms drawing too much current for most amps?

Please give some advice/recommendations for a budget setup.

Thank you.
regafan_1972
I ran the Arro with an Odyssey Khartago Plus, which used are in your price range, and is a great match.
PS, one more thing. Regafan, in your first post you said the Z amp puts out 60 amps to the speakers, and that is wrong. It only does 12 amps.
Manufacturer says so in specs. Odyssey is probably best bet at that price. 6 Ohms nominal speakers often drop below 4 ohms with some piece at some volume.
I have a pair of Totem model 1 signatures , Totems in general are not easy to drive.
Thank you all once again. And, as a correction, I meant that the amp is 60 watts, and the speakers are 4 Ohms, my bad. I will definitely look into the recommendations.