This tells me that the cause of my conjunctivitis is almost definitely bacterial. (A viral infection produces a clear discharge, and allergic conjunctivitis usually affects both eyes)
My SO was kind enough to purchase some myrrh and peppermint today, so I mixed up a batch of eye drops. The peppermint is less effective that I would have hoped at numbing the eye, but the combination does seem to improve my vision somewhat. I'm hoping the myrrh will help knock down the infection, since I'm almost totally out of antibiotics. Myrrh is also antifungal, so it will help even if the infection is fungal and not bacterial (whereas an antibiotic would be useless against a fungus)
I found a website selling proparacaine eye drops without a prescription. The site appears to be legit (the only stuff they carry is tonometry equipment), so I ordered a couple bottles as well as a tube of antibiotic ointment. Hopefully they'll arrive soon.
I took some pics of my pink eye, I'll post them later.