I think it would work if you and your wife have different Hyatt GP accounts. Technically you SHOULD be required to checkout everyday but since it costs the hotel more to cleanup your room after you checkout than if you stay in the same room 14 straight nights, you might be able to talk the hotel manager into letting you keep the same room. However I'm pretty sure that you'll actually have to go down to the front desk and physically check-out and then have your wife check back in and vice versa each day so the hotel can charge your credit card and you can get a separate folio each day.