Even the natural radioactive elements in the environment are associated with reduced quality of life.
This is one reason people at high altitudes live longer and healthier lives than people at low altitudes.
Your point about DNA repair etc. is irrelevant. The reality is that every alpha particle you are exposed to increases your chances of death by cancer or (much worse) passing on a defective gene to your kids. If you had zero radiation exposure all of these probabilites would be reduced.
Sorry but I know about this stuff. Trust me, you are better off getting as far away from radioactivity as you can manage.