It is reasonable to bike in NHV to/from downtown. Usual reminders apply - the majority of drivers are not bike friendly or aware. You will be on the defense. NHV has done a great job with bike lines, including counterflow bike lanes.

BIking to the WH VA is certainly doable but far less bike friendly from downtown NHV. Not many arteries between WH and NHV that aren't choked with cars. Most have very little shoulder and zero bike lanes en route.