Asymmetrical boats such as you describe are known as proas. The traditional Polynesian proa (known as a Pacific proa) has the rig on the larger leeward hull. They have rudders at both ends, and instead of tacking, they "shunt" or reverse directions. So where a conventional boat would turn about 90 degrees to tack, a proa would turn 270 degrees while swinging the rig through 180 degrees.
Alternatively, you may be looking at a one-way speed record boat.
good luck, and DO post pictures (especially sailiing ones.) We GOTTA see this one!