This calculator follows HEC-RAS Reference Manual in calculating region composite n using Chow 1959, page 136, equation 6-17 (not 6-18).
Rock lining
Use the Manning Trapezoidal Channel Calculator to design rock lining. This calculator is better suited to natural sections.
Velocity check
High velocity implies that there was a large elevation drop that created such high specific energy. That energy can be lost quickly at expansions, bends, or obstructions. Verify that this is reasonable for the site.