I did a quick search.

You're not going find anything that meets your requirements.

Although the Shure does have a model that operates inside the Pyle's frequency range but there is no way to dial in the exact frequency needed.

And I'm not aware of any other powered speaker with a built in microphone receiver that would let you save on the fitness element.

One way to avoid external power requirements on a receiver is to buy a headset that uses a rechargeable battery

https://smile.amazon.com/Wireless-Microphone-Rechargeable-Transmitter-Recording/dp/B082KGC61N