I lived in Chattanooga for many years, most of it in St. Elmo on the mountain side of Alabama Avenue. My playground was the side of Lookout Mountain. During that time I found a plethora of arrowheads and both Yankee and Confederate Minnie balls. In university (not UC) I had enough courses in Anthropology and archaeology for a minor and worked with the major archaeology teacher who was basically the main man at the mound (like Etowah) in Cartersville that was close to the Mississippi River. There were a lot of Indian digs around Memphis. It appeared to me while I was there that there was not a lot of interest in the archaeology around Chattanooga. I do not remember any thing said about the Indian sites that might be around or under where the Moccasin Bend hospital was built (1961) or later with the Golf Club was built. I do remember them finding unexploded cannon balls, but that was all. Bit even they were quite deep. In 1960 I moved in with my grandmother and not far from the house was a clutch of Confederate cannon balls, still stacked.
They had to bring the explosive demolition team at Ft. McClelland Alabama to blow them up.
Prior to the building of the dams, Hale’s Bar and Chickamauga, Chattanooga flooded often. In areas that were affected there would be a phenomenon brought about the rise of and fall of the water table and what that would flush things underground and after the paleoindians were no longer there, their remains simply would not exist. My guess would be that they would not find much or anything, pots and grave goods might be there.
After of my schooling in Memphis, I took a job selling text books to professors and knew almost every archaeologist of note in the US.
When I was born in 1942 one of the first visitors to the hospital to visit me was Zella Armstrong. Zella wrote a lot of books about Chattanooga and you can find those at the library. You could find some more books by Dr. James Livingood who taught at UC and UTC. There is one book of Zella’s I would admonish you to read. It is entitled WHO DISCOVERED AMERICA - THE AMAZING STORY OF MADOC. For those interested in the Civil War around Chattanooga and know about the wall called the Confederate Rifle pits. Trust me. The Confederates did not build that wall and were just glad it was there.
I think it would be wiser to build the hospital at Moccasin Bend, add to it, put a second story on it.