My limited research indicates that there are no real logos for simply "AA" or "Double A" at all, as that 'class' of baseball has several leagues all with their own logos. I didn't find anything useful from a historical perspective either.
If you look here,
Baseball Logos on LogoServer , under "Minor and Miscellaneous League Baseball Logos" you'll see a listing of many (if not all) of the minor leagues and their logos.
There are some excellent 1900's logos for Teams, as these for the 1900 Eastern League:
LogoServer - Baseball Logos - Eastern League
Perhaps digging around the site will reveal something useful for you, or something can be altered to be used as a league logo.