Congratulations on your new addition! And your new look!
Your surgeon sounds appropriate in his recommendations, as 590cc implants PLUS a breast lift may indeed be too tight and might not heal well. Let your tissues heal, soften, and stretch as your internal and surface scars mature before trying to tighten your skin with a breast lift. 6 months is minimum, and more is better, as average "complete" healing takes 7 months!
As to the type of lift, you should be aware that the fewer the incisions, the less the degree of actual "lifting," and the more wide, irregular, or unsatisfactory the scarring. Benelli lifts are capable of only fairly modest skin tightening and little true lifting. The larger circumference outer incision must be sutured to the smaller diameter, smaller circumference inner areolar incision, so there is ALWAYS some degree of "pleating" "gathering" and flattening of the breast.
Vertical or lollipop lifts can also leave a distorted or non-circular areola with widened scars that often cross onto the chest wall below your inframammary crease, or end up being "modified" by adding additional crease scars that are not much different than Wise-pattern (anchor) full breast lift scars, except that they do not shape the breast as artistically and beautifully as a primarily-designed and well-performed Wise pattern full breast lift.
Some lifts work some of the times, but Benellis lifts do not apply to all breasts in need of lifting! If you need more skin tailoring, simply "wanting" a Benelli will not make it "work." And searching until you find a surgeon who does what you want rather than what you need only gets you a bad result and a second operation (and more scars that you should have accepted in the first place!)
Sure, they're your breasts and you are paying for the surgery. Let's use an example: if you owned a racehorse and hired a jockey to ride your horse (hopefully to a victory, but at least to as good a showing as possible) who recommended how he would ride your horse, would it be your right to tell him that you preferred he ride backwards so he could always see who was coming up to pass? He tells you he only rides forward-facing, as this is the direction in which the horse runs. Maybe your horse, maybe your money, but you are no jockey, and you won't win any races if you decide how to ride your horse over the recommendations of the expert you hire.
Yes, this is a bad example, since there is always a doctor out there who will do what you want rather than what the majority knows (and shows) is best. Where do you think all the questions about bad results on this site come from? Get several consults if you must (see only experienced ABPS-certified plastic surgeons who do lots of breast surgery) to float your ideas past your experts. Ultimately, you should be able to see a concensus emerge. Do what's best, not what SEEMS to offer the least scars. Best wishes! Dr. Tholen