Paneling and Trim - Help needed with baseboards on floating wall

I hope I'm posting this in the correct forum...

I've built the walls for my basement bathroom (floated from the ceiling joists) and now I want to finish them with sheetrock and baseboards. To float these walls, 2x4's were attached to the basement concrete with a 1.5" gap between these footers and the bottom plate of the walls, so a 3" space in total between the floor and the bottom of the wall.

The only thing I can think of doing is to attach long thin strips of 1/2" sheetrock or plywood to the footer boards (making them flush with the sheetrock on the walls above) and then attach the baseboards directly to the footers...so if the floor moves up or down the baseboards will move with it, and the walls stay intact.

Is there a better way to do this??

I think you have it. Leave the gap between the base and floater so it can still float, attach your base to the plate and allow the wall to float behind it. Of course it will require a taller base than is normally placed on floors.