Be careful with Quinolones. Some people develop allergic reactions to them after prolong usage. I used to take one of the Quinolone family antibiotics for sinus infection, and ended up in the E/R, looking like the Michelin Tire Man. I had ignored the warning signs of anaphylaxis, so just a heads up.Ask your provider about these.
Fluoroquinolones for the eye - PubMed
Two fluoroquinolone antibiotics, ciprofloxacin (Ciloxan-Alcon) and ofloxacin (Exocin-Allergan), are available in the UK as topical preparations for the eye. Ciprofloxacin eyedrops are licensed for the treatment of "corneal ulcers and superficial infections of the eye", and ofloxacin eyedrops for...pubmed.ncbi.nlm.nih.gov
I agree, though, that you need a topical antibiotic.