In canon, we only have that single Daedalus from "Power Play". But even in semicanon, the ships that get (rather arbitrarily) assigned a Daedalus identity seem to serve in the classic "damsel in distress" role that in TNG is met by the Oberth class. That is, they get bested by villains and aliens that Kirk only manages to defeat because his starship isn't immediately destroyed by the threat of the week.
The Daedalus as depicted in semicanon, the sphere-and-cylinder affair, could easily do the part of Oberth in the 22nd century. Being ugly, fragile and primitive would actually be a big bonus there.
Note that we don't yet know the full timeline on this class. We know it was withdrawn from use by 2196, but was that when all the 68 surviving and still potent ships were retired in favor of a modern successor - or was that when the last of the class ceased to allow tourists aboard for the museum cruises because the century-old hull was leaking too badly? Canon is silent on the issue; most novels nowadays assume the Daedalus class preceded the Enterprise class (or NX class, or whatever) by at least a decade, and remained in use and production throughout ENT.
Personally, I side with the novels in the Daedalus being an early Earth vessel from the 2140s, and looking much like Sisko's tabletop model, but never being a first-rate vessel, and instead filling the secondary, off-frontlines, science and supply vessel role from the very start. But the single canon bit, the "Power Play" thing, might instead point towards a much larger frontier explorer that was still pretty hot in the 2190s.
Timo Saloniemi
