I think it depends on you. Some people recover faster than others. It usually only takes me a day to recover and sometimes two from a hard ride. But I suspect that I recover faster than most people.
Also those are pretty tough rides. With me, it would be motivation to do another one. I have already done one so why do another even if I feel fine?
From what you have said though, doing two in one week sounds as if you would be pushing it. If they have so many of these things, why not pick a couple that are a couple of weeks apart?