The observatory has made considerable gains in their skill in forecasting for the white mountains region in the past years. Whereas in the past confidence was only had for day one, Obs staff now puts out a remarkably reliable (considering) product for 36 hours, which is about the limit for forecasting specifics about the weather in the whites. Beyond that, all you can hope for is trends, as it is just a very tough area to forecast for considering that often times a few hundred feet of elevation, or different aspect or slope of the mountain your climbing can make a huge difference.
I have long had a worries about many of the independant sites (ie: weather.com, accuwx, wunderground) putting out long range forecasts for Mount Washington. Most devote little (no) staff time to the process for the summits, and rely solely on computer algoritms to do the work. While computers can at times do a good job with the big picture, the models just can't pick up the nuonces of weather over these hills, as the grid that they are origionally forecast over is larger than the entire WMNF in many cases. That being said, sometimes they hit right, as some have experienced here...but they can be really wrong! I think they get alot of credit because it's easy to forecast a good day, and those are the days people make it to the summits and say, wow, accuweatherunderground.com did a great job.
My recommendation is to start with a human interprited product like the Observatory summits forecast and discussion in NH, Eye in the Sky in VT, or the NWS higher summits forecast from Grey, Me (or better yet all three to be really prepared). If you need a longer range outlook than they have the ability to provide, I'd then go to a third party source, but be very aware that this should be used mainly for trends, and you should be watching the skies closely.
just my 2cents, for what it's worth