[RHSeeger]

That seems completely unmanageable to me (though, clearly not to you). Between picking up/dropping off my daughter, (food) shopping, making meals, going out to dinner, and so many other things; I'd fine it impossible to schedule a week straight where I could commit to responding within several minutes.

Honestly, I wouldn't feel comfortable asking anyone on my team to do it either. In my mind, if you're on call, then you're working (because you're committed to working being a priority over your personal life during that time). Which means the person should be paid for the entire time, and a week straight seems unreasonable.