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

Far more important than the technique is the skill and experience of your plastic surgeon. Choose your surgeon rather than the technique and let them explain why one technique may be better than another.  See the below link on some suggestions on finding the most qualified Plastic Surgeon for a Breast Augmentation.  Always insist on a board certified plastic surgeon.

In the photo posted, your breasts do not appear tuberous. Tuberous breasts have a constricted base with tissue bulging through the areola area.

Difficult to tell for sure based on the limited photographs,  whether you have tuberous breasts. Generally, some of the characteristics seen with tuberous breasts include a very narrow base, short distance from areola to inframammary fold, tight (constricted) lower pole of the breasts, relatively wide space between the breasts, "puffy" and areola and some degree of ptosis (drooping).  

Regardless, breast augmentation surgery may be a good operation for you, preferably when you have reached a long-term stable weight.

 When the time is right, seek consultation with board-certified plastic surgeons. Ask to see lots of examples of their work and communicate your goals clearly. You may find attached link helpful to you as you do your research.

Best wishes.