Not much help
Seeing how's you asked nicely, I will try my best to help, but I dont have a dorade box so I know nothing of which I speak! I think I understand what a Dorade box is supposed to do (seperate water from ventilating air) and I suppose the interior of these boxes is inexcessable?? That being the case, why not build new ones using the old ones for a pattern? I would be inclined to try a rot-proof material like starboard? or perhaps plexi? If you must use wood, marine plywood if it's to be painted (and I would suggest several coats of epoxy paint to the interior). If the boxes would look good as finished wood, go with teak or mahagony. Sounds like another interesting wood shop project! If, after opening the old ones up, you feel you'd like to try to resurrect the old ones, get them good and dry and apply several coats of epoxy paint to the inside of the box, being carefull not to plug the drain holes....might be an idea to enlarge the drain holes while you're at it.