When I had to have my F350 emblems replaced on my '07 because the black was coming off the dealer told me they would heat them up to get them off. I would guess that it would work for you also. I would think about what i use to remove the glue, doubt I would want to use carb cleaner. 3m makes some adhesive remover and there is several others that would be ok for paint that shouldn't hurt the plastic.
2011 F350 Same as the 2009
2009 F350 Lariat stock and will stay that way, Royal red with arizona beige, Xtang toolbox cover