I would assume that polyester resin would work perfectly fine on the stringers since that is the original material
You'd be better off with vinylester or epoxy- when dealing with cured polyester resin you're best bet is to use epoxy, especially if you're not going to gel coat it. If the layup was new and everything built wet on wet the poly is fine, cured poly is a different case.
You wouldn't believe how many new boats are still using Polyester resin..!