If it’s just a question of Sunday Mass, there are a few places in NoVa where you can go. St. John the Beloved in McLean has a High Mass (sung) every Sunday at noon. Also St. Michael has a Sunday EF Mass at 6:15am. And St. Lawrence in Alexandria has one at 12:30pm.
For weekday EF masses, I don’t think there is one every day, but you can get through much of the week if you don’t mind going to several churches:
Monday: St. John the Beloved, McLean, 7:30pm
Wednesday: Holy Spirit, Annandale, 7:30am (morning!)
Thursday: St. Rita, Alexandria, 7:30pm.
Friday: St Raymond of Peñafort, Springfield, 1st and 3rd Fridays at 7:00pm
Saturday: Holy Spirit, Annandale, noon
Maybe someone in DC or Maryland has one on Tuesday or the other Fridays.
This is a partial list. You can also search for EF Masses on the diocesan web site:
arlingtondiocese.org/advanced_search.php
I hope this is helpful. I should think that churches that have EF Masses at least once a week would also be more accommodating to people kneeling for the Eucharist at other Masses, but I’m just guessing.
–Jen