Hey, we did a similar trip for our honeymoon, but no LA.
We had 5 nights in San Fran, then took 6 nights to drive from San Fran through Yosemite, death valley, around the grand canyon, then had 5 nights in LV. It was one of the best trips of our lives!
A point if you are Google mapping drive times just now. There's a road, the tionga pass perhaps, that will be open in the summer, but if you Googlemap it now it may show really long travel time through yosemite. We drove the road in mid September, went from snow and 5 degrees at the top, to it being desert and 35 degrees in death valley only a few hours later. We loved the change in scenery and environment!
We also did the helicopter flight from LV to the grand canyon as I wanted to land in the canyon itself. The trip did not disappoint, pricey, but amazing sipping cava at the bottom of the grand canyon!
There's plenty to do in Vegas without gambling, the food, the shows, the hotels, and exhibits are all fantastic as is the people watching.
Can you tell we loved the trip?!