My suggestion for castling would be as follows: the corner disk must not
have moved, and must have the potential to be a rook (castling will reveal
it to be a rook).
Pawn promotion is also potentially awkward. I propose a variant of the
Grand Chess rule (a pawn may not move to the last if the owner already has
seven quantum pieces, revealed or unrevealed, but may still give check). I
also propose that pawns promote revealed.
I would also note that this variant can be combined with many others, such
as Capablanca/GrandChess, Different Armies, or even Jetan (to practice the
mechanics, you could also go the other way and apply it to Los Alamos
Chess).