Dial refinishing or replacement recommendation

See my photo of a caliber 562 Seamaster made in 1961, reference number 14770-1SC. The lacquer on the dial has deteriorated to the point that it is flaking off and taking with it markings on the dial. I live in the states. Does anyone know of a dial refinisher who does quality work? Or where can I get a replacement dial? If neither option is good, then I guess my only choice is to remove the bad lacquer along with the dial markings and apply a new coat of lacquer so the watch can still be used.