There's a new, great reason to apply for summer jobs in DC this year: You may take the Seattle U Law School's DC class this summer AND take advantage of the housing arrangements set up by SU in DC.
If you can find a position that you want in DC, apply! It does not have to be one of the programs already connected to SU's DC program. Just be sure to let Shawn Lipton know that you want to participate in the housing and class.