John,
I dont know that any of the manufacturers will grant licence for BG production using anything other than silk screens. To my knowledge there isnt one reproduction factory that uses this method. Yes it allows us to make small run glasses, but i doubt Williams or Gottlieb will ever put the tick of quality approval on them and allow licence. The depth of colour is not quite as deep and i think they are concerned with films coming away over time ( like this never happens with Silk Screen!!).

Williams licence holders are licenced to produce specific parts... there is no licence to just produce coils for instance - a 24/1200 coil will have specific licence.. they cant just go making 24/1300 for instance unless permission is granted to do so.
Dependant on the titles you have chosen to produce - neither of the licence holders may have permission. Neither of them will have permission for layers of film and therefore they cannot grant it.

You need to make your product and then submit to Williams.. they then may or may not grant permission... best of luck to you