This is DC, so there are a lot of options. Here are some of the closest ones:
St Regis Washington DC~$375
923 16th Street & K Street NW
(202) 638-2626
Capital Hilton ~$199 (0.4 mile away)
1001 16th St NW
(202) 393-1000
Doubletree Hotel ~$169-229 (0.4 mile away)
1515 Rhode Island Avenue NW
(202) 232-7000
Hilton Garden Inn Washington DC Downtown~$197 (0.2 mile away)
815 14th Street NW, Washington, DC
(202) 783-7800
The hotels further away are cheaper and you can always metro into the city.
For example:
Hampton Inn Suites Reagan National is only $84/night and is on the red line on the metro
2000 Jefferson Davis Hwy, Arlington, VA, 22202 United States