Time to start a radon mitigation company!
Radon is a problem in traditional brick and mortar basements as those walls are typically just one layer of brick and mortar. Water and radon can easily penetrate through micro-cracks that develop over the years in traditional basements.
I'm no expert, but your statement makes me ask... Why then do we have homes with basements that have radon problems, but not water problems? I don't think the two problems are always related.