From the AMABLOG ...
Q: Do I need to list both my AMA number and my federal registration number on my aircraft?
A: Yes, you need to list both your AMA number and Federal registration number on your aircraft
FAA is indifferent about the AMA number and since the AMA does not care to police the legal requirement for the FAA number. I see no need for any club to police the placement of the AMA number. As there are those in my club that refuse to register with the FAA they can well expect a visit from the FAA should the club decide the AMA number is to be placed on the outside of my plane.
And ... as the AMA is seeking a waiver from the FAA over the outside placement of the FAA registration number for those that may be 'burdened' I expect they need to simply forgo the expectation of outside placement of the AMA number.
From the AMABlog
AMA will be submitting comments to the FAA requesting a waiver process for those who might be burdened by external markings, such as members who fly scale replica model aircraft.
I do not mind meeting requirements of the FAA and to some extent, the AMA but I don't deal well with obvious 'stupid'. AMA should expect the exterior placement of the AMA number on all models or none of the models. Don't make a special class that is excluded. All or none.