RepairPal Certified shops can diagnose and repair your 2016 Mercedes-Benz S63 AMG. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.
Proper wheels and tires for the vehicle is the only thing I can think of. Any modification will create different weight bearing situations, and any tread pattern variations can cause noise. Too hard to know without first hand inspection.