There is Southern Lady Aviary:
Log into Facebook . They are listed on the Lineolated Parakeet Society's website. According to Google Maps they are about 3 hours and 15 minutes away, but with how few people are still breeding this species, I doubt that you will find a closer breeder. If you find a breeder that you really like, you could ask if they ship. Many do.
Edit: I am not sure why the link says "log into Facebook", but you do not need a Facebook account to see the page.
Also, the page says that they had five pairs on eggs a few weeks ago.