"Is there a roster of all the men in this unit?"

Have you checked the NC archives?

Not sure if this helps but here's a bare mention of the unit at Ancestry. Says the regiment was in the "23rd Brigade."

Posted 17 May 2010 by sspeter2

"James P.C. Davis was a Captain in the 93rd Regiment North Carolina Militia during the Civil War. He was in the 23rd Brigade and was listed as being from Brushy Mountain, Area I of Wilkes County. This information was provided to me by a descendant of Ella Bobis Carselle Davis Smith and the information can be found in the Rowan County, NC Library in the big blue genealogy book for Wilkes County. Ella Bobis Carselle Davis Smith was the daughter of Marinda "Rindy" Teague Davis and unknown father.

Wilkes County Will Book 5 page 398 - J.P.C Davis dated Oct. 24, 1864 and proven November 1864. Executors named were Martha M. Davis and Solomon Davis. Witness Howell Baker, Alexander Gilreath.
Wilkes County Deed Book T pg 459 - Aug. 5, 1858. Melissa Davis to James P.C. Davis 107 acres.
Wilkes County Deed Book T pg 460 - Oct 17, 1859. Easley Staley Sheriff to James P.C. Davis 107 acres. Court case.

The death place of James PC Davis.
I see a host of researchers who have the place of death for James PC Davis as Warwickshire England. I am a direct descendant of James and have researched him for many years and I have NEVER found a source that shows his place of death as Warwickshire England. For those who use Warwickshire as his place of death, please site your source. The fact is, I don't know for sure where he died, but I would bet it is somewhere in NorthWestern North Carolina."
https://www.ancestry.com/mediaui-viewer/tree/18034689/person/605900599/media/b3e13a2b-efb4-4853-afd7-14d4cd0cbca0