Is a vertical lollipop scar and areola scar the only way to lift?

it sounds like you want something that you can't have. ALL lifts involve a peri-areolar scar =/- some vertical and possibly horizontal component. IF you don't have significant sagging of the nipples(difficult to tell from the photos) then you may be able to get an implant alone in a dual plane configuration to get the "lift" you want, but when you say the smallest implant possible, that is also not going to work. I think you need to reconsider IF you truly want surgery and what your goals are. 

Based on your photos, you may be a candidate for a breast augmentation with anatomical implants to correct you ptosis (droop) since it is not severe. A true lift cannot be performed without the extensive scarring you are trying to avoid. I recommend you see a board certified plastic surgeon who routinely uses anatomical implant to see if you can get improved volume, shape without the scarring. Best wishes.