Stop working with family? Kidding I know that's not an option.
You can be passive aggressive and start calling in or going home because your allergies are acting up too much. However, before you did that, you really should approach them calmly and professionally letting them know that it's not professional and it is bugging your allergies.
If you do get and air cleaner, don't bring it from home, expense it to the business. Check OSHA regulations - there might be something about this to back you up.