So far everything that has been suggested, worked on or been actually done was knee-deep in the waters of continuity obsession. Star Trek - The Beginning was based on ENT, Star Trek - Federation was a continuation of 24th century Trek and AbramsTrek throws virtually everything together without cooking anything new out of it.
As long as the fans, the studio and the creative folks are continuity obsessed the franchise will be in decline.
Shouldn't be that hard to just do your thing and if you want to tie it to some degree into what has become before. As you pointed out it works well with Who.