I just can't imagine doing Mt. Washington in one of those wind storms.
Rainier is another story.  It is a true mountaineers peak.  It has
glaciers, crevasses and walls, all on one climb.  It really should be
done with a three man team who are familiar with crevasse rescue
techniques such as z-pully and have practiced arresting a leader fall.
it is possible to get caught on the mountain and to take two or three
days to descend.
On friend of mine and his partner had to spend three nights in snow
caves before they were able to find their base camp. At the time they
did not have a GPS receiver and were using snow stakes to mark their route.
The snow buried the stakes and they could only see a few yards at a
time.  In one case they glissaded out of control over a crevasse.
It is a dangerous mountain, but one of the great climbs.