Boston isn't going peacably. Even if a major British victory early in the war caused most of the rebels in New York, Philadelphia and Virginia to lose heart, pacifying New England is going to be a long, expensive and bloody process.
Same with the Carolinas and Georgia, for different reasons. The British deployed no troops there until 1778 - by which point all the Loyalists had been brutalised into submission. Cornwallis arrived in Charleston expecting to be hailed as a liberator, and instead found that the "Loyal South" regarded him as too little, too late. This victory isn't likely to change that dynamic (especially if Howe retains overall command. Howe deliberately delayed basically everything, because he found it abominable to be commanded to fight "fellow Englishmen").
General Finley has a good TL on the matter, you might have a look

He has the second rebellion in the middle of the Napoleonic Wars, under Andrew Jackson. 1830s over slavery is also a sound possibility. As to who would be hanged - Hancock, Sam Adams, perhaps a couple of others, but a swift victory makes the Brits less likely to try and salt the earth.