White Mountain is a road hike from start to finish. If there is any hike you can do by yourself this is the one.
You will not know about AMS until the alien starts crawling out of your right eye, you find the food you love the most is inedible, the thought of walking another step is a monumental task or you start yakking all over the landscape...and this all can happen in a relatively short period of time. About 40% of people are affected by AMS.
2.47-MPH is quick for most. I did about that last time I did Ontario Peak...up/down and a bite to eat. I'm considered slow amongst my hiking friends but when I'm out on my own I am rarely passed. You have recognized pace as the big deal it is. Find a speed you can go all day without starting and stopping. You do not want to bonk. Bonking on Mt. Whitney is no fun...I've done that bit of stupidity.
Hike your hike, don't worry about the hares you hike with and you will do just fine. I learned a long time ago I'm not a hare and I don't enjoy myself when I pretend to be one.