You mighty want to research Georgena Terry Bikes she made beautiful bikes with custom geometry for people of this size. I see eBay has a few vintage models in the $500 range right now. What ever you decide enjoy the hunt.
She also sparked the emergence of a number or "Terry-inspired" designs, i.e. small frames with a 24" or 650C (*NOT* to be confused with 650B) front wheel. Lotus and Centurion Ironman come to mind, but there were others.