What guidance is there for the authorized or acceptable wear of a morale hat with a non-regulation size rank?

On my last deployment, I had a morale patch made for my OCP ball cap. It has the mission name, my call sign, unit crest, and my rank on it. The rank is not regulation size as it is about the size of a nickle. I had the patch made to serve as a template for my Section Soldiers who also have the same type of hat and wanted to be able to wear a ball cap in around our section AO. My question is that since I cannot find any regulation that states we cannot wear the when not in uniform, would it be acceptable to wear in civilian attire? I would really like to wear this hat in my civilian clothes. Personally, I see it in the same classification as the black veteran hats that service members wear with the mini rank pins on them. Would there me a great squared away NCO out there that can provide some guidance on this subject for me? It will be greatly appreciated.