Polly, I was just reading some info on Japanese Anemones, and sources I'm finding list them as hardy to zone 4. With your typical winter snow cover, I think they would be hardy for you.
A few years ago I participated in a Mum co op (I believe the source was King's Mums) and chose a variety of colors and types. 3 or 4 of them bloom throughout the summer, which came as a surprise as I had only ever known Mums to bloom in fall. I have a brick red cushion type in full bloom right now, and have been moving divisions of them to a bed with red, orange, and gold Daylilies- what a gorgeous combination! I believe those that start blooming in summer were just listed as early bloomers.