I'm spit-balling here, but who would be up for creating a shared fan fic universe? A bunch of stories, independent initially but crossing over from time to time?
Love the idea! It reminds me of how Robert Asprin's Thieve's World came to be. However, I think there's already a ton of stuff written and shown The Dominion War. I would suggest setting it in the missing era of either Enterprise-B or Enterprise-C.
Enterprise-B era would be good. According to the lore, the B was a thorn to the Romulans, and also discovered the Cardassians and Bajorans. A ship with a fair few years of service and a mysterious disappearance.
Another option, if you want time frame to be during a war, you could use the Federation-Cardassian War which was a few years before TNG/Far Point.
I also think considering at wars like the Federation-Tzenkethi War, the war with the Talarians, or even the Sheliak in the 23rd century if you wanted to do a big crossover series around a war. That being said, there isn't much out there either about the wider Klingon-Federation War in "Errand of Mercy." And then perhaps the granddaddy of them all, the Earth-Romulan War.
It could be an exploration series, or about a small conflict, or a mixture of elements. Imagine how the Marvel Cinematic Universe wove various strands together.
I'd have to say maybe. I would be more interested in doing something during the Earth-Romulan War/Early Federation era or the TOS era.
^ I'd be tempted by that as well, after I read "Starfleet: Year One" the era and idea of building the Federation enticed me, plus I've always fancied trying out a Daedalus-Class ship.
This has sparked an idea in my head, so quickly gotten it down before it sours: Stepping into the Future