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Unfortunately, there's no easy way to score a low priced first or business class ticket, especially if you do not have status with some carrier. Having a disability doesn't really help here, either. As Jasper2009 points out, you're probably really looking for business class seats.
Reading the various airline mileage program forums is a good way to educate yourself on what the possibilities are.
Another way to tackle this might be some sort of fundraising via an ALS organization or your local community funds-granting foundations, if you don't mind going the charity route.