Wow, zone 3a, that is a level of cold most of us in the US don't experience. How early does your soil freeze? And how hot do you summers get?
The reason it's suggested that planting in fall is best is because planting them as the soil is cooling but before it's frozen will typically prompt the roots to start growing little feeder roots before they do dormant in winter, sets the plant up well for spring. Will you get the roots early enough in fall to have several weeks of decent temps before temps stay below freezing?
My garden was in zone 4b Colorado until 3 years ago, currently learning how to grow peonies again in zone 8a Alabama. I was not able to grow peonies effectively when planted in spring even in 4b because our springs were inconsistent, no time for feeder roots to grow in spring before the warming temps caused foliage to grow and the summers were too hot and dry, the poor storage roots were worked too hard keeping the plant alive. Most spring planted peonies didn't make it through the first summer. Shading in the afternoons helped but those roots still lagged well behind fall planted ones that were planted early enough to establish a bit before going dormant for the winter. If your summers are relatively cool without threats of drought you might have an easier time with them surviving spring planting, they might not suffer as much as spring planted roots in hotter areas, especially if you're ready with temporary shade in case they start to look stressed. If your summers are hot though, especially hot and dry, I'd stick to fall planting the smaller sized roots.