See, to me, fandom is easily more accepting of other ships, because of Voyager and Deep Space 9, and to a lesser extent the Excelsior, Titan, Excalibur and numerous others that the expanded media have followed.
However, go outside of fandom and there's two shows that people talk about. TOS and TNG. I think you could get away from Enterprise but only if you had a Kirk as THE main character. You need one of the two, ideally I'd say both which is one thing I really like about David.Blue's idea. Especially as Kirk's a she and not the captain.