One of the huge problems for Episcopalians was the bottleneck of the ARW.
Most Anglican priests at the time had to swear loyalty to the King as part of their ordination (the King being the head of the Church, and Anglicanism being the Established Church of England).
So, in 12 of the 13 colonies, all Anglican priests were either Tories or oathbreakers - which meant that for a goodly number of years, there could be no Anglican services in much of America. This devastated the local church, and reduced it massively.
The Methodist Church is a direct offshoot and survivor of those years - Methodist clubs (mostly at Anglican churches) could still meet and have prayer meetings, even if they didn't have a priest for the sacraments. And then, John Wesley (who, by the way, was an Anglican priest, and stayed that way until he died), 'ordained' a couple of men (Coke and Asbury) to provide sacraments for the Methodist clubs (which became Methodist churches) in the US.
You also, of course, have the Puritan/Congregationalist/ etc grouping in New England,
The other problem is that the Anglican (Episcopal) church is Episcopal - bishops are very important, and the ultimate source of ordinations/sacraments/whatever.
So. What you'd need would be a PoD where a bishop or three (preferably) are sent to the Colonies decades before the Revolution, and there's a local hierarchy on the ground. Then, have some of the Bishops break with England in the Revolution, and have a corps of 'Patriot' (i.e. rebel

) clergy, who can spread themselves to cover all the parishes in need of clergy.
Have an ARW equivalent of Leonidas Polk in the ACW (a fighting bishop) and you could have a much bigger Episcopal church after the war was over.
Majority would be tough. But Virginia had had an established Anglican church, and was the biggest colony, so it's at least possible.