Do we know of any communities or individuals who thought of themselves as British subjects for much longer into the United States’ existence than most would presently expect?
I haven't heard of any Loyalist communities continuing to resist after the peace treaty between Britain & the US was concluded in 1783. Any remaining Loyalists who didn't submit to US control after Yorktown would have faced serious hostility or actual violence from their neighbors and the government.
During the Revolutionary war, Loyalists in majority-Patriot areas were subject to a spectrum of hostility ranging from social shunning and boycotts of their businesses to vandalism, confiscation of their property, and even escalating to beatings, death threats, and executions. Unlike the French revolution a few years later, there were not mass-killings of Loyalists, but a significant number were hanged either by lynch mobs or as part of a formal judicial process during the war.
After the British surrender at Yorktown, many Loyalists left the US via New York (which was still in British hands at the end of the war). It's well known that many of these people went to Canada, Britain, or other British colonies. Many more stayed behind and accepted US independence.
After independence, Loyalists faced continuing prejudice for their war-time loyalties. They were subject to inter-personal resentments and social consequences as well as legal restrictions. Penalties were more severe for those who had taken a military role, as compared to milder consequences for those who had provided only economic support or merely voiced their support of the Crown. Some Loyalists were prevented by law from returning to their home communities on pain of imprisonment until the 1790s, and restrictions preventing Loyalists from holding government office were maintained in some places for years afterward.
The end of the war did not mean an end to resentment or threats of violence, as late as 1784 a Loyalist accused of wartime acts of cruelty was killed by a mob upon returning to his home community in South Carolina, and in Boston a returning Loyalist was tarred-and-feathered the same year. Continued expressions of loyalty to the crown would have been met with risk of expulsion from the town or the state, threats of violence, or actual violence up to and including lynching. A hold-out community of Loyalists, if it existed, would have been seen as a military threat and dealt with accordingly, however to respond again to your question, I have never heard of an organized Loyalist community holding out after Yorktown, when it was apparent that the UK government was not going to commit any further British troops to protect the Loyalists. Those who thought re-integration in the face of Patriot hostility was impossible left the US. The Loyalists who chose to remain in America had to keep their heads down and hope for slow recovery of their pre-war economic and social position.
An excellent reference for this topic which I've drawn from is: Hoock, H (2017) Scars of Independence: America's Violent Birth