I've rushed the show four times, all with the original cast, including their last performance (which was one of the best nights of theatre I've experienced in my life, but I'll leave that for a different post/thread. Hahaha).
Out of the four times I rushed, the only time I arrived before the box office opened was for the OBC's last performance because, as I correctly assumed, there were a good number of people like me that day who really wanted to see the OBC on their last performance. The other three times, I arrived at the box office probably 1-3 hours after it opened, and I was fortunately always able to get a "full view" seat. It is my understanding that if they run out of full view rush seats, then they start selling partial view.
My seats were all in the orchestra section. In order of the times I went, the seats were second row center, second row right, eighth row right, and then eighth row right again. I believe that at least a good portion of the rush seats are located on the extreme sides of the right orchestra section, and if I had to guess, the "partial view" seats are located on house left. Action happens in the box on house left, so I'm guessing partial view means that you're sitting underneath the box, so you can't really see what's going on up there.