Socks, welcome to the Zone. Good group of folks here, and I'm sure you'll enjoy it for a long time. On your itinerary: it strikes me as a bit aggressive coming from low elevation. Do you or your group have experience between 12K and 14K feet and know your susceptibility to AMS at that altitude? If you're up at altitude regularly, I would suppose no problems. If not, the bear is waiting to jump on your back at about 12K'. Personally, I like a little more acclimation time. I'd also recommend camping at Horseshoe Meadow (10K') instead of staying in Lone Pine if at all possible. That 6500-foot difference in elevation while sleeping can be critical in how you perform on Whitney Day.

The only other thing I would mention is don't wear yourselves out on White. Compared to Whitney it's an easier hike to 14K', but it's still a long, high trail. Ramble around high, acclimate, but don't expend much effort in the two days prior to Whitney.

Best of luck and be sure to post a trip report!