DC has all kinds of accommodations; please choose anywhere you're comfortable!
We think the area around NoMa/Gallaudet University Metro station on the Red line would be convenient for wedding festivities: it has a wide range of hotels, it's just 2 stops away from the shuttle pickup and drop-off at Brookland station, and there are lots of food and drink options in and around Union Market, as well as shopping, grocery stores, a CVS...
Some family members have already booked at the Courtyard by Marriott at 1325 2nd St. NE.
Check out WMATA to get a sense for public transportation options: https://www.wmata.com/Â