Hi Laura,
Firstly congratulations on the EdD. That is a great achievement. Since I myself had a Masters from the US before I went for a PhD here in the UK, I would like to say that you need to be aware that the system here has a lot of politics and bureaucracy as compared to the US. And while I appreciate your interest in the UK system. So once you find a department which allows for a "by publication" route, be sure that there have been previous successful PhDs there *by this route* and do ask them personally about their experiences. I probably could have taken the same route but chose not to do so since I realized that if the examiners have themselves never seen this route before, I might get into trouble (more than I have gone through going the other way :p). The key problems that I realize I might have faced are the subjective (and actually unchallengeable) assessments at times by the examiners here. (e.g. in "their" opinion, are the publications "substantial" etc.)
Cheers