Your dates are actually the week before Easter and includes Good Friday (3/29)
You should count on it being busy. Here are the Touring Plans predictions for that time:
Tue, March 26, 2013 5 out of 10 DL 6.5 DCA 2.8
Wed, March 27, 2013 9 out of 10 DL 9.6 DCA 8.2
Thu, March 28, 2013 9 out of 10 DL 9.5 DCA 8.2
Fri, March 29, 2013 9 out of 10 DL 9.8 DCA 8.1