The size of vintage drums have been same along nothing to do with oversized
Sorry Cuco: I don't really believe that what I am saying refers to the LP timbales, too; but at least my 14" Slingerland Radio King from the 50's is just a tiny bit wider than today's drums. That means that normal hoops sit pretty tightly around the drum, which in turn makes the drum hard to tune and affects the rebound properties of the head. The head is not "floating" as much as on modern drums. I like the sound, though; it's a very special sound.
I cannot imagine, however, that larger heads (Aquarian?) will do the trick. Wider hoops wouldn't fit under double- or triple-flanged rims. They would fit under simple single-flanged rims - or timbales rims.
Thomas