This (2012) paper by Michael Faught and James Waggoner provides an example of how this could be done on a state-by-state basis. Faught and Waggoner use multiple lines of evidence to evaluate the idea of a population discontinuity between the Early Archaic and Middle Archaic periods in Florida. One of the things they discuss is the presence of a radiocarbon data gap between about 9000 and 8000 radiocarbon years before present (RCYBP). They are able to identify that gap (which is consistent with a significant drop in or lack of population at the end of the Early Archaic using a dataset of 221 pre-5000 RCYBP radiocarbon dates from Florida.
I'm aware of the Kentucky, Ohio, West Virginia Radiocarbon Database published by Cultural Resource Analysts, Inc. I'm wondering if there are similar existing compilations (either print or electronic) for other eastern states, especially those south of the Ohio River. I've only spent a short amount of looking, but I haven't come across any yet. At the risk of being accused of being lazy, I thought I'd throw the question out there and see what turns up. I will be very surprised if radiocarbon compilations haven't been produced for many areas of the east, and it seems worthwhile to ask about existing resources (which may not yet be easily "discoverable" online) before I contemplate yet another large-scale data mining effort. Please let me know if you can help.