If your home has high concentrations of radon there are ways to reduce it to acceptable levels. Most radon problems can be fixed by a do-it-yourselfer for less than $500. If you want or require the assistance of a professional you may wish to look at the list of certified radon mitigators for your state.
Interestingly enough, one common cause of bloody mucus in nose areas is high blood pressure. While the blood vessels and the nose seem hardly related in any pertinent way, Kaiser Permanente points out that high blood pressure can cause nosebleeds, which can result in bloody mucus discharge. What can cause this is the perfect storm of adjacent occurrences.
As you know, nasal mucus is normally clear and thin. During times of infection, it can change color to yellow or green either as a result of trapped bacteria or due to your body's reaction to viral infection. Mucus build-up is also caused by cystic fibrosis with extremely thick production of mucus that is difficult to expel. However, sometimes the problem is not that you are producing too much mucus, but that it's not being cleared away effectively.