Take your copper strip, clean it in solvent, then use some fine waterpaper to clean the surface of oxides, and roughen it, then wash again in solvent and dry. Then dip in the varnish and leave to dry, then bake for a few hours to harden it.
enamelling is a glass coating applied and then melted to the copper, and needs some clean substrate, and a slurry of glass powder in a gum arabic suspension ( to make it a slurry) that is then fired in a reducing atmosphere ( no more oxide forming) to melt the glass into a layer on the surface.
Cheaper is to use a thermosetting plastic and lower temperature in an oven, or to use an automotive epoxy paint instead, less need for high temperature, and pretty durable, plus easy to get in colours and a clear as well.
Look for enamelling or powder coating for a number of parts, or just a small amount of paint from a local car paint shop for onesies.