Paul, My company used to sell a chromate primer - not for the industries being discussed here, but for packaging applications. We got out of the business partly because we did not want our workers exposed to airborne hexavalent chromium.
That said, you might find that in your application what is applied as hexavalent chromiumis actually reduced to trivalent chromium as it, and the paint, are applied then dried and cured. In its trivalent form chromium is not the same bad actor which is how it ends up on the inside of soda cans and in flexible packaging made with aluminum foil.
I fully understand the need to protect workers from the wet primer as its being applied, but its possible that the same problem does not exist after the primer is dry. I AM NOT A CHEMIST, but I do have a team of them who work for me. You should do an anaylis to see if you have the reduction to Cr III that I'm describing.
Jeff