Just to confirm so a stay can be just one night correct? I can check into a different hotel in the same chain each night and it will count as a separate stay?
Yes. As long as they are different hotels. Just hotel hop. Do not try to book separate reservations for sequential nights at the same hotel because they will be combined by the systems into one stay. For example, I did a 4 points one night and the Sheraton the next in OKC one weekend to get two stay credits (and a nice targeted bonus) from Starwood once. Same chain is fine. Same property is not.
it can be a little tiring to keep packing and moving but I think most of us have done it from time to time to meet stay requirements.