Be aware that the bores on most .36 caliber C&B revolvers are oversized for the common .358" diameter bullets used in .38 Long Colt and .38 Special cartridges. Consequently accuracy may suffer. Usually those revolvers made for a particular cartridge have the correct bore size.
Originally the .38 Long Colt cartridge, that was used in most C&B Navy conversions, had a heeled bullet similar to what we now see in a .22 LR cartridge. Thus the front of the bullet was the same size as the case, and it correctly fit the bore.
So don't spend any money on a new cylinder until you measure the bore of your particular revolver, or buy a reproduction of the revolver that is made for metallic cartridges.