Welcome to Mayo Connect. I don't know if you will hear from anyone with this exact problem, but let's talk a little about it.
First of all, cartilage has a very poor blood supply, so healing can take a while. Next, alcohol is very drying and irritating to the skin, so daily use while healing can cause its own set of problems. Given the way this is spreading, you may be allergic to the piercing, or be reacting to the alcohol. Do you know what metal is in the stud and post? What about the back? Often these are rubber, and you may be reacting to it.
If this was my ear, I would remove the piercing, wash the area carefully with mild face cleanser or soap 3X daily and treat it with an antibiotic cream for about 3 days. If it doesn't improve or continues to spread, see a doctor. Skin infections, if they get a good start and do not respond to basic antibiotics, can spread and become serious.
Was this a self-piercing, or done by a friend, or done in a shop? If it was a shop, you might ask them for advice...
Sue