What would be the closest new vegas approximation of it?
Here's the Wikipedia description of the real world gun:
The Ranger's "Big Iron" actually existed. It was a one off custom handgun chambered in .45 Colt and featured a Great Western copy of the Colt Single Action Army frame, Colt 1860 Army backstrap, grip frame and grips and a cut down 9 1/2" Marlin rifle barrel. Marty Robbins saw it in Andy Anderson's famed North Hollywood gun shop in the late 1950s and wrote the song around it. Its current whereabouts are unknown.