The drive to Snowshoe from the Beltway looks like an absolute terror :-/
you could do something like
hhttps://maps.google.com/maps?saddr=22314&daddr=38.571504,-77.3322204+to:38.2922269,-77.5739179+to:38.4295538,-78.1694232+to:38.3791707,-78.7981612+to:snowshoe,+wv&hl=en&sll=38.608018,-77.338943&sspn=0.109862,0.224876&geocode=FWQKUAIdvkxo-yk5b5mmBbG3iTF_yGgAbn9I7g%3BFfCNTAIdBAFk-ymtcf0SCvm2iTHJw5TOfmeEeg%3BFQJLSAId41Bg-ymZbbAxhb-2iTE_kboOSWD8IA%3BFXFjSgIdsTpX-ykVx9CTUjy0iTEZq2ZtKw4w2A%3BFaKeSQIdr6JN-ymtoqHRzY20iTG_SE0MJW1DwA%3BFYsmSgIdO2Y7-yk1Dr8vv3BLiDG9AjJrrmPyjw&mra=dvme&mrsp=1&sz=13&via=1,2,3,4&t=m&z=13
adds a half hour to the trip (assuming you're coming from alexandria/arlington), but you drive through scenic country, and if there is traffic on the beltway or 66, you may come out on top