Here is mine, a .54 caliber 1 in 32 twist Lyman GPH with Lyman Globe and reciever peep sights and upgraded nipple to accept Musket size caps.
That is the same rig I have! Also have a 1970s Lee-Enfield musket and a semi-custom .40 caliber flintlock. I still need to learn flint knapping. Next up is a .54 cal. flinter or maybe a 20 ga. smoothbore flinter.
Check that! I have the slow twist for patched roundballs. That is all I shoot out of smokepoles.
This is my rifle. There are many like it, but this one is mine.