I have no experience with this, but my only question would be around humidity in the box. Once the humidity goes up it takes longer for curing to occur, especially for the top coats. Plastic models aren't porous and you are painting them with enamel paint, whereas wood is porous and you are filling those pores with stain, so a closed, warm environment may be detrimental to both the finish and wood.

If you want to try to try it find some off cut of large pored wood (ash, like your guitar if you can find it) and run some tests first.