Dont give up hope yet, not probable but possible...
Largest March DC snow: produced a foot of snow in the city March 27 to 28, 1891.
The Palm Sunday snowstorm of 1942 brought the region’s second-largest March snowfall on record. On March 29 of that year, 11.5 inches was measured at Reagan National. The storm produced over 2 feet of snow in parts of Maryland and northwestern Virginia. That snowstorm also ranks as Baltimore’s seventh-largest storm on record; 22 inches was measured. Source WTOP.