I'm not sure that such a game would have to be a real-time/semi real-time 3-D, animated game. Even a turn based game (15 minute increments) based on several dozens or scores of actual chases (and which could be expanded over time) would make for not only an interesting and fun game, but one that would be educational as well. Heck, you could even make it a multiplayer games by allowing participants to begin their chases from different locales and formulate a point system based such things as how close they are to the area of initial convective development.
To further this concept a little and make it a little more realistic, it could be along the lines of a dual strategic (forecasting, planning routes, target areas, etc. within the boundaries of a time limit, say 5 minutes real time equals 15 minutes game tim) and tactical (real time, in situ intercept as storms begin to fire) game.
Regards,
Mike