This sounds like it could work, but it might be more effort than you need. You could also just put each individual component up at a time and scribe them instead of building the box first, then you might have an easier time cutting the board down to fit without having to worry about clamping the entire box down and maneuvering it while planing each piece with it all still connected together. The corners might start to loosen apart unless you're planning on separating the box again after you take it out? But that would mean you'd have to but it all back together a second time and spend extra time worrying about damaging the box in the process.
Also you could freehand the scribed pieces through a table saw for a faster cut than hand planing them, or use a belt sander to quickly take the wood down and then lightly plane it after to smooth it out and make the process easier on yourself.
Also you could freehand the scribed pieces through a table saw for a faster cut than hand planing them, or use a belt sander to quickly take the wood down and then lightly plane it after to smooth it out and make the process easier on yourself.