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I..e, there were various proposals to deal with the problems, but quite often British politics literally had no way to "ingest" the message. A small colonial delegation visited General Howe before the Revolution turned bloody to try and work out a solution. But Howe had no authority for that.

This is one of the key problems of distance, yes, but also implicitly the nature of colonial governance. There was no representative of the Crown or Parliament in all the Americas, short of some customs officials. The problem of the colonial system was that there literally was no system.

My answer is that, Yes, absolutely Britain could have resolved the tensions, kept its colonies and even become much greater for it. But it would have required a significant change of government structures to adapt, and a new way of looking at the Empire as a whole.