Ways to fight black mold
I write this as an answer instead of a comment because I don't have the reputation to do otherwise (frustrating!) even to edit my answer-which-is-now-a-comment

A weak vinegar solution (maybe 1:1 ratio water and vinegar) will solve your problem and will not stink up your home. Vinegar smell evaporates very quickly and are great for areas you can't reach easily to clean by hand. I promise your AC won't smell like egg salad.

Here's the first mold-cleaning with vinegar article I could find, there are plenty more where that came from