I just hiked the Race Brook Falls Trail to the A.T. between Everett and Race on Saturday, reaching a top elevaton of about 1950'. There is more snow than not once you get to about 1400', except in places that get a lot of sun, and pretty much continuous snow of 4-8 inches above 1700'. I've heard there was a lot of drifting up on Race, which is prone to it, and I'd bet Bear would have that in places, too, maybe less so on Everett with its bigger, flatter top. The snow is melting apace - by the end of next weekend, I'd say a good 40% of the snow I saw will be melted.
The higher reaches of the Greylock Range, needless to say, will have a lot more snow in the thickly forested areas and on north-facing slopes, though Greylock's open summit areas will likely be a wind-swept mixed bag. The temps up on the plateau in SW Mass were up to about 45 F on Saturday, when it was around 50 for a high in the valley. The brook and the falls are running nicely, but are well past peak snow-melt flow. Light traction helps in places, and if you take the falls option on the RBF trail, there's a place where you have to work around the usual routing, which is blocked with a large ice flow left of the fourth falls, ascending, which is impassable without crampons and either an axe or rope. The work-around is doable, though, and readily evident.