RE: Lyman Accuracy
First off welcome to the forum and the sport...
The difference between a Lyman anda PA Long Rifle is also the ease of cleaning. Hooked breech rifles are easier to clean. If you want to shoot roundball then the Lyman Great Plains Rifles is the choice. Although I shoot a Lyman Trade Rifle that has a 1-48 twist and it shoots roundball very accurate. If you want to shoot conicals then the Trade Rifle or the Deerslayer I think it is called.
Some other ones to look at are the Traditions Woodsman Hawkins in 1-48 twist. Check Sportsman's Guide web site for them. Thompson Center also makes good rifles. I would stay away from the pinned breech rifles myself, but others do not mind them at all.
Good luck in your selection.