Ya , but here in California they do a ride that starts in Death Valley, 135 miles later it ends at Whitney Portal, and then they hike to the top of Whitney, all in 24 hours or under. I do not know the "They", but have heard it's done. LOL Actually, a friend did it one year, making the summit in the 24 hour time cutoff, and he said it nearly killed him. And he is one of the most "in shape" people I know. I made it, the one year I tried it, from Death Valley to Lone Pine (122 miles) and after getting off the bike, fell asleep on some grass in the shade. Your ride around Rainier looks like a fantastic one. As one that has summitted Rainier, riding around it seems like the next best thing to do.
