I've had peonies grow back from broken off roots with no eyes on several herbaceous peonies, I'd try it, Jerry!
Sorry I tempted you to buy more peonies, Kousa! You got some beautiful peonies, though. And the roots from Select + were big enough to get 2 divisions from that might even bloom next year, maybe more divisions if you wanted. They were enormous except for the Strawberry Crème Brulee, huh?