Josey,
I see you are new member which is very good!
I think we would all like to see pics of your pistol and would like to know the manufacturer date code (right side of frame in Roman numerals, or alpha characters in a rectangle on the bottom of the frame where it meets the barrel lug).
VTI does carry a few ASM parts but it is hit or miss on many of them. After ASM went out of business, most of their parts were bought out buy a couple of purveyors (Numrich, VTI, DeerCreek, et al) and what is left is the end of the road.
http://www.deercreekproducts.net/store/c20/1860_Colt_ASM_Revolver_Parts.html
Some folks have had good luck fitting Pietta or Uberti internal parts as substitutes. Wedges are easy to fit, as well as the bolt. The hand is a bit different.
A month ago I picked up an ASM 1860 Army [BC] (1993) in very good shape for a 25-year-old shooter for less than $190. When I got it the trigger pull was about 2#(!) and a bit of needle file work got it to 5#.
I am looking for a full-fluted cylinder for it, probably an Uberti (VTI $103) that I can modify to fit.
Welcome to the forum and good luck in your quest!
Regards,
Jim