Yes, Sleepy, there are alternatives -- that's the good news. The bad news is it depends on the patient. Without seeing you I can't tell you if you are a good candidate or not. A lot depends on your skin quality and how much extra skin you have. It is easy to say I never use an anchor scar, but as soon as I say that a patient walks in with too much skin or too poor quality skin to achieve this goal.
Meet with several plastic surgeons. Some will use one technique that fits all, others like myself, will adjust the procedure to fit that particular patient. Some patients will end up with a peri-areolar lift just around the areolar while many have a lollipop type incision around the areolar and straight down.
If I am unsure on a patient I will frequently do the lollipop and if after 3 months there is still some skin excess I can excise it with a shorter horizontal scar than I would with an anchor lift
Good luck in your hunt.