You stated an overnight at Trailcamp.
This makes a big difference in the advice

Here are some real world times.

I did it that way 2012 with my son when I was 62 yo and orthopedically challenged

11:00 am start at Whitney Portal Storeto Trailcamp
with 2 hr delay hanging around Outpost Camp waiting for rain and lightning to settle down, arrived at Trailcamp 6:30pm
Overnight at TC

Summit Day and down
Up at 5:15 am. Left tent there.
Did not leave until 6:15am so we could watch the rose-cinnamon alpenglow from morning sun on the East Face
6:15 to 9:40 am climb to summit.
9:40 to 11:30 stayed on summit
11:30am - 2:35 pm back to Trail Camp, broke down tent and headed down
2:35- 6:22 pm Whitney Portal Store and burger. Son was way ahead of me. I am only a little faster down than up.