Yes, just get a compact class D five-channel amp such as the Classe Sigma Amp5. I have heard the Classe Sigma Amp5 & Amp2 at a dealer right when they first came out in 2015 so it's been a while ago, but yesterday I had a chance to hear it again at a local dealer and wow! they are fantastic especially for HT (surround sound movies). Its sound is highly resolved, very detailed, smooth, fast, very dynamic with plenty of slams, very clean with unlimited reserves of power and are able to drive just about any difficult loads. They aren’t my kind of amp for listening to music but for surrounds (HT) the Classe Sigma Amp5 are perfect and found nothing that can be faulted.
The Classe Delta series class AB amps are indeed quite a bit better amps than their Sigma series amps especially for music and are in different leagues but the Delta series class AB amps, like the ones I have in my dedicated HT room, are huge massive and very heavy and lot more expensive than the Sigma series amps.
But those Classe Delta series gears were discontinued last year and if you could find a used one they will be discounted.
So the Classe Sigma Amp5 & Amp2 would make more sense to power those overhead speakers for Atmos setup they are small compact and pretty light weight due to class D design.