I never liked T/C #13 as a swab compound. The reason is there is a chance of leaving moisture in the barrel when you dump your next charge. Although it sounds like you were doing a good job of dry patching so I think you would be safe. In my traditional rifles I swab (especially in winter) with pure isopropyl alcohol.

With the Swiss and Schuetzen powders I never went about 100 grains in 2f and 90 grains in 3f. The recoil will tell you better. With Goex I normally shoot 100 grains of 3f which might sound like a lot, but the rifle does its best there.

Since this is your first session on your new barrel, I would not get too concerned about accuracy and group tightness. We used to say never worry about a rifle until after 200 shots. Whether this still holds true is hard to say. The big thing is shoot it as much as you can and get comfortable to the stock and the noise and recoil of the rifle.

As for the hard to load, go to Wal Mart and get some 100% blue or red strip Pillow Tick cloth. It is $3.49 a yard here. Wash it in the washing machine and then line dry it. After it is dry it will tear in nice even strips for you. Just smear some bore butter or mink oil on that, lay it over the barrel and seat your ball into that. Cut the rest of the strip off at the muzzle and you now have a perfect centered patch. It should be a little easier to load although I never had a problem with Ox Yoke. Now if you were shooting .495 ball I could well understand the problems. We had to hammer them to get them down the barrel...