I would probably pair the Wh-di with another actualy di and let the students play a board game on any snakes and ladders type game board. They would roll both dice and if it comes up what and 4 they have to ask someone a what question and then they get to move ahead 4 spaces.
You don't really need a wh-di. You can just assign a wh-woed to numbers and when it comes up the students must use that word in a question.
So if the student rolls 3-2, they would make a question with why and move ahead 2 spaces.
websites with games:
http://www.mes-english.com FREE games, flash cards, projects. no registration/no spam
www.eslhq.com free worksheet creator and clipart but you have to register
www.eslcity.com free but you have to register
I hope that helps.