Budget friendly hotel with free parking and easy dc access 25 miles north of dc the budget and pet friendly red roof plus washington dc rockville is less than a mile from the i 270 and i 370 interchange the i 270 puts you a 25 mile drive from washington dc or you can take the m red line from shady grove metro station 15 miles from the hotel museums and waterfalls within a 40 minute drive you can explore the nations history at the smithsonian museums and the many monuments of washing