Los Angeles 2.5 days (5th to 8th)and half day drive to
Grand Canyon 1 full day (8th night until 10th morning)
Antelope Canyon afternoon visit (10th afternoon)
Las Vegas two nights/one day (10th night -12th morning)
Death Valley one full day (12th midday - leave 13th afternoon)
Yosemite two days (13th night until 16th morning)
San Francisco 2.5 days and go back to UK
However I am not so sure if Death Valley needs a full day (sleeping there), 2 nights in Las Vegas would be too much, I am spending too few time in San Francisco or even shaving a day from here and there and go to Monument Valley between the Grand Canyon and Antelope Canyon... it might also be that I am missing many things...