We present 3nuts, a self-stabilizing peer-to-peer (p2p) network supporting range queries and adapting the overlay structure to the underlying physical network. 3nuts combines concepts of structured and unstructured p2p networks to over-come their individual shortcomings while keeping their strengths. This is achieved by combining self maintaining random networks for robustness, a search tree to allow range queries, and DHTs for load balancing. Simple handshake operations with provable guarantees are used for maintenance and self-stabilization. Efficiency of load balancing, fast data access, and robustness are proven by rigorous analysis.