That's not a good strategy. Not in Georgetown, because of the relationship between purchase price and rental income. You'd either have to put down some outrageous amount, like 50%, in order to break even with cash flow, or you could be looking at negative cash flow of $1,000 or more a month.
If you post what your objective is (cash flow, appreciation, etc.), I'm sure you'll get some useful advice regarding what you can do in the D.C. metro area.
Hope that helps.