"...I am not likely to find any medical care other than self-help..."

That could be tricky, depending on the location of the bite. My daughter and her husband are both letter carriers for the P.O. He got a pretty bad bite last year, right on the lower curve of his butt. Really hard plact to work on yourself.

As for FAK stuff, disinfectant (lots of it) and bandaging. How much would depend on the seriousness of the bite(s). Get it as clean as possible, bandage, and hope.

Side note. My daughter, in violation of PO rules, believes in the "here's a treat doggie" thing, she carries some goodies that, if a very aggressive dog comes at her, she throws in one direction while she boogies in the other. No bites on her fanny (yet)...