Breastmilk is best. :-) We had to 'borrow' some from a lactating friend once for just this reason. Kinda have to be good friends, lol. It'll keep refrigerated and fresh for a few days, if you aren't using it from the "tap".
I've read that a particular antibody in the breast milk, called immunoglobulin A, prevents the pink eye bacteria from attaching to the mucosal surface of the eye. I had pink eye as a nurse. I was able to work without taking any antibiotics, with strict hand-washing.
Evidence suggests there is a modest reduction in duration from an average of 4.625 days (untreated controls) to 3.3 days for those given immediate antibiotics. Deferring antibiotics yields almost the same duration as those immediately starting treatment with 3.9 days duration. http://www.bmj.com/content/early/2005/12/31/bmj.38891.551088.7C.sho...
Another option is chickweed compresses. Chickweed grows about everywhere. http://www.buzzle.com/articles/chickweed-benefits.html
Heat is the best thing for killing off the bacteria/virus. So, (very) warm water compress will help and soothe.
Here is a long thread about eye injuries but toward the bottom is some info about conjunctivitis. http://heal-thyself.ning.com/profiles/blogs/eye-injuries
Add folate and probiotics for immune support. Also consider magnesium and Omega 3.
Here are some homeopathics for pink eye. http://www.truestarhealth.com/Notes/2214008.html