This will be blasphemy to some most all here, but I would play AB over FD if forced to choose. Before you jump on, my reason is not for architectural merit.
For me, FD was very nice--in fact a great course. But too typical of the courses I already play here in the Midwest. Trees, parkland, water (to greatly oversimplify things). So AB is more of an escape for me. More linksy than I can play around here. Manufactured yes, but a guilty pleasure, with quite a few interesting shots, tough putts, great views, and a setting on the lake to die for. Sometimes, I just feel like having a greasy cheeseburger and fries, instead of a filet. This comparison is one of those times.
(I had to cast at least one dissenting opinion in here, just to keep it interesting.)