I'm with Hunter but I can see what Vile is saying. I like 'Safety Not Guaranteed' but Trevorrow has only done one feature lengthed film. Just one. If he did a bunch of indie flicks under his belt then it would be a different story. And this can apply to the likes if early Jackson, Raimi and Nolan.
Now if there were two directors who are on the same track as those three, it would be Rian Johnson and (the late bloomer) Sam Mendes. Both have proven they can handle different genres of film* they also proved they can handle action. In the case of Johnson, he did sci-fi with Looper and with Medes, he took on a huge franchise like Bond with Skyfall.
These two dudes are very diverse and fearless, and I can see them taking on Star Wars.
*Johnson: Neo-Noir, Quirky Indie Comedy, Sci-Fi action.
*Mendes: Family Drama, Gangster thriller, Relationship/60's Period drama, Quirky Indie Comdey, Big Franchise Tentpole