Just take the additional small step of changing the names of the movie title, the ship and the characters ... poof, an actual fresh start.But now we have a new ship in a new universe with new actors, so why not just say that the story starts with the last film? A fresh start.
or you could just retread off of others works
Bald Shinzon in big Romulan ship ... Bald Nero in big Romulan ship
Picard rams big Romulan ship ......George rams big Romulan ship
Luke Skywalker flys into trench ... nuKirk drive into gully
Real Kirk and Kobayashi Maru ... nuKirk and Kobayashi Maru
Real Kirk bites apple .................. nukirk bites apple
Real Kirk screw alien chick ........ nuKirk copies actions
Khan loses wife seeks revenge ... Nero loses wife seeks revenge
Ceti eels in ears .......................... Ceti eels in ear
But I'm sorry, you were talking about "FRESH."