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 more for natural sections.
Velocity check
High velocity implies high specific energy from an available drop. That energy can be lost quickly at expansions, bends, or obstructions. Verify that this is reasonable for the site.