Looking at the large gaps within the current lineup of shows among venues in the west, CTG has, among others, the options of 1776, A Soldier's Play, ATP, Frozen, Book of Mormon, Superstar. I agree ATP will be there over the holidays. Hollywood took a lot of the newer shows, unfortunately, albeit there weren't many options. CTG also has an outstanding engagement with Les Mis left from 20/21, but the show is booked heavily in the east, so it'd have to take place summer 2023.
San Francisco announces next week (possibly Tuesday), so I think a lot will probably be able to be figured out after that. It would be interesting to see if Wicked made its way to either SF or LA.