A band of morning rain on Tuesday will continue to shift east with time, allowing partial sunshine to develop across New England during the afternoon. The sunshine will be most widespread the farther west you go with highs in the 60s and 70s.
That front will then essentially stall offshore. At the same time an area of low pressure will continually swirl around the Great Lakes. Those two things combined will leave us in an unsettled weather pattern for the next few days.
Wednesday, Thursday, and Friday will each feature a northeast wind through most of New England. That will keep a raw feeling in place, especially at the coastline. Highs will stay in the 50s and 60s.
The onshore flow each of those days will also bring a fair amount of clouds and pockets of showers or drizzle. No day will be a wash out through, and there will still be some areas of sunshine. The sun will be most widespread in Western New England away from the coast.
Eventually this pattern will break down, with the area of low pressure now near the Great Lakes creeping closer to us as it departs. That may bring a period of heavier and steadier rain, but the timing on that is still somewhat uncertain. Right now, however, it appears as though Saturday would be the most favored time for that to happen.