For a conversion, I shoot 200 gr 45 bullets in the 45Colt and Schofield cartridges, but a 185 or 165 might be more accurate, if it was necessary, due to the slow twist "blhof" mentioned. The lighter bullets are also easier on the barrel's forcing cone, and the cap & ball barrel is not made of as hard a steel as the cartridge guns.
As to the 36, I shoot Speer or Remington 148 gr Hollow Base Wadcutters. Hornady if I must, but they seem to lead more. The hollow base opens up and fills the .375 bore of the barrel, and accuracy at CAS distances is fine. At extreme ranges, they might tumble due to the slow roundball rifling twist, but the nose-heavy hollow-based bullet probably has some arrohead effect, and is surprisingly stabile.