You should check out the "Women & Bicycles" facebook group from Washington Area Bicyclists Association (WABA):
https://www.facebook.com/groups/WomenandBicycles/
I'm sure someone there does this commute and could give you a good route/timing estimate.
I bike from Slaters Lane/GW parkway to Dupont Circle (via Mt. Vernon Trail -> Memorial bridge) and it takes me around 40 minutes in the morning. The commute home is about an hour, as it takes me a little longer to get out of the city.