I would have member services put this on your reservation before arrival. They may be able to have this done before you check in.
I believe you should call maintenance instead of housekeeping. The tables in a SSR studio are a pedastal style. I'm pretty sure they'll need to take the tabletop off the base to get it out the door.
I'd be surprised and disappointed if they're not able to make this accommodation for you.
As a preious poster said, the rooms at OKW are much larger than those at SSR. (390 sq ft versus 355 sq ft.) Check out the room layouts and see if that may allow you to fit in what you need without having anything removed.