I always forget which war is which, but for new englanders to be pushed into the sea requires a very early war. Moreover, it requires every nation in the area to unite against the english. Unfortunately for the natives, the nations were enemies of each other, and by the time the english were realized to be a bigger threat, it was too late.
The WORST result would be to almost succeed.
English advantage not only includes military tech, like armour and horses and guns and fortifications, it includes agricultural tech (you can feed more people for one acre of land, AND you can reliably transport and store food), and social tech (relative unity, access to a homeland and other colonies that could help them tide over a year of war). Oh, and logistics. The locals really cant get supplies from any natives further away, although the might in theory get warriors, whereas ships can bring in food and weapons from england or virginia.
If there are any englissh left in the walled towns, the natives are doomed. Armed men can sweep out in big enough groups to wipe out any individual indian town, killing everyone they find, and destroying crops and stores.
Rinse and repeat.
While the natives can gather enough warriors to defeat such a raid, they cant keep a large force together. An gathering all the warriors at one spot leaves all their villages defenseless.
So, if they managed to get the english completely gone from new england, they might win, planting a new colony would be too hard against hostile inhabitants. But unless the win completely, they have lost.
If they tried and failed, the colonists would exterminate any native village that was in reach and didnt immediately aquiesce to all the english demands.