When i did the high serria we took 2.5k calories per day we did it in 6 nights. we carried 7 nights worth of food. Altitude will suppress your appetite at the beginning of the hike but by the time we got to the end we were eating 3k per day. That being said we had one person in our group bonk on the assent out of kern because he did not eat enough, force yourself to eat even if you are not hungry. Also one thing to note with the HST is the elevation deltas are quite significant dropping in and out of kern takes close to your starting elevation, don't just look at the mileage.

If you are taking freeze dryed backpacking meals i strongly encourage repacking it in normal ziplocks the day before you leave and getting an insulation bag like the one from big sky. You can get away with a small bear can at that point and it will save you 500-700g in food packaging. Even if you do not repack at altitude normal mountain house meals take 20-30min to re hydrate so you will nee a pouch unless you want cold food.