I am not sure what sorority you are an alumna member of...
1) However, there definitely is a Washington DC Alumnae Panhellenic. (I know, cuz I checked here!
http://www.npcwomen.org/alumnae/a_directory.php )
Why not email the NPC, explain your situation and find out how you can get in touch with the Washington DC Alumnae Panhellenic?
2) Also...depending on how industrious you are feeling, you could look into starting a Alumnae Chapter or Alumnae Association for your particular sorority. I would email your HQ and find out how this might be done (or at least see if there are other fellow alumnae from your sorority in Washington, DC. -- you can probably bet that there ARE some around in DC).
3) You could also serve as a Panhellenic Advisor to one of the colleges in DC. This could be particularly desirable if your sorority is not represented on the campus, as you would be "unbiased" that way.
GOOD LUCK!