I don't have the ballistic co-efficient in front of me, but I do have the various initial (muzzle) velocities of small arms used in the Civil War.
Rifle Musket, Model of 1855: 963 fps. (Elongated Ball, 510 grs.) 60grs. Musket Powder,
Rifle, Model of 1855: 914 fps. (Elongated Ball, 510 grs.) 60 grs. Musket Powder
Altered Musket: 879 fps. (Elongated Ball, 740 grs.) 70 grs. Musket Powder
Pistol Carbine: 603 fps. (Elongated Ball, 468 grs.) 40 grs. Musket Powder
Musket, Model of 1842: 1500 fps. (Round Ball, 412 grs.) 110 grs. Musket Powder
The altered musket would have been any of the flintlock muskets altered to percussion and rifled and sighted to use the elongated (Minie) ball. These were generally the M1816 and M1835 flint muskets, some of which were also altered using Maynard's tape priming system.
The M1842 smoothbore percussion musket, which was also rifled and sighted in many instances was mostly used in its original state. The 110 gr. powder charge was a leftover of the flintlock period. Generally about 10 grs was used as priming and the remainder dumped into the bore. Since priming wasn't used in the '42, it was just assumed that the full charge was loaded into the musket. Note the difference in the initial velocities of this gun compared to that of those using the elongated expanding ball. Patching was not used with this round ball load, though usually the paper enclosing the ball was left around it, at least until the fouling became great enough that the ball was loaded bare. The rest of the cartridge was used as a wad to keep the ball in place.
You may also notice the difference in velocities between the M1855 rifle-musket and the M1855 Rifle. They use the same charge and bullet weight, but the barrel of the rifle-musket is seven inches longer than that of the rifle.