The Captain-class frigate named Rowley

Does the Captain class provide the best example, and was a ship named for Rowley?

Probably: the class used many officers' names, including HMS Rowley, although most honorees were admirals and Rowley seems to have received only this one ship.

The Captain-class escort frigates carried many officers' names, though most commemorated admirals rather than officers who remained captains. HMS Rowley appears to have been the only ship to carry Joshua Rowley's name, officially linking him chiefly to his service at Quiberon Bay rather than his own independent victory. The choice reproduces the pattern of remembering him as a subordinate in a famous admiral's battle. A useful, workmanlike escort was nevertheless an apt memorial for an officer valued for practical reliability.