I know I can globally default custom forms for my users and/or I could choose their defauly forms by role, but is there a way I can lock customers into particular forms?

We're using multi-site with multiple web stores. If I lead/customer is acquired through a particular site, I'd like keep their experience consistent by providing them branding and logos of the site which they shop on. Its easy enough to manually do this from the custom form drop down, but anything manual means potential for mistakes or forgetting. I'd love something on the customer record which locks the customer into using all On Deck Sports branded forms or whatever site they came through.