22 years old, 5'8", 44 inches around bust with puffy areolas--are my breasts tuberous? (photo)

You did not have a tuberous or constricted breast. The overall shape of the breasts is quite nice and a breast augmentation will yield the same shape with more volume.

Thanks for sharing your photos. It does not appear that you have tuberous breasts. However, a diagnosis cannot be made simply from photographs. Be sure to visit a  qualified plastic surgeon and discuss your concerns. Best wishes, Dr. Aldo.