Although I think the assignment NOT to use technology would be a valuable experience, you are likely to face either stiff resistance and resentment or flagrant cheating.
Most of us use the computer for coursework almost constantly. To put that much of a burden on students to suspend their work for a week would be unreasonable for just one course.
I've been on the computer for about two hours, both for this class and for 551 & 561 this morning. I would never catch up again if I had to stay off for a week.
Great idea, but it would be a VERY difficult sell. -mc