The thing is there really isn’t such a thing as a white stain. Any white medium is made up of opaque pigment in a suspension. If it were me ( and I’ve been half thinking about something similar) I would spray white automotive acrylic and then sand it back to expose the grain. Then do a bunch of clear topcoats over that so you can cut back for a shiny finish. White wash might work but I’m not sure about sealing it.