Doyle, I believe that's our man. He was an older gentleman (born in 1815), politically active and influential (he was the Treasurer of White County on the eve of the war), and though he served as captain of a volunteer company after the war started, there are a couple of references to his being a colonel. His grave marker identifies him as a colonel, and a postwar narrative mentions a Col. John Critz overseeing the annual drill of the White County militia in 1860. His commission as colonel was apparently a State militia commission. The highest rank I find for him in Confederate service is captain, which he resigned fairly early in the war due to health problems.
He's buried in Oak Grove Cemetery here in White County, Arkansas (1815-1875).