Alternate gauge conditions for classical charged particles are discussed. These gauges are suggested by unified descriptions of electromagnetism derived from general relativistic metrics which are velocity-dependent, Finsler metrics. In each of the examples it is shown that a particular gauge choice produces a potential which is related to the particle velocity and which identically satisfies the Lorentz charged particle equation. The results are related to Fermi-Walker propagation and are demonstrated to be consistent with the dynamics of both point and extended particles.