I know the feeling of a time cramped schedule. The best advice people give always includes more time for acclimation. But sometimes that just isn't possible. It wasn't possible for me two different times taking red eye flights to California and attempting Whitney. The first time I crashed---but even if I had not been able to make the summit the second time I still don't regret how I did it. Frankly, there was no other choice.
You said you both have "long day hiking experience". If that is true, I think your chances are pretty good. I went into the Whitney hike last year in the best hiking shape of my life. I've ran several marathons. I was in great shape. I even had done a 12,000 foot hike the previous year. But all my hiking last year was at sea level up to 5,000 feet in Alaska.
I then experienced altitude sickness at about 12,000 feet in Whitney and got very sick--headaches, vomiting, dizziness. My level of fitness didn't matter. My 67 year old dad was fine. On my second attempt I attempted to get a little more rest, I used Diamox, and I concentrated on deep breathing. And I made the summit with no problem at all.
