IME it isn't really "normal" for the last 6" of the bore to be tight for a patch, but there are reasons for it to happen. This is where the bullet is traveling the fastest, and you may be seeing more jacket fouling there. Use a tight brush wet for a few strokes, then switch to a copper removing solvent. If it is metal fouling (you should be able to see it at the muzzle) you really need to remove it from the barrel or it may never go away.
Did you break in the barrel? This is one of the problems seen when shooters don't do that. Cleaning the bore every shot for the first five or ten helps to prevent this from happening; it keeps the bore clean so that the bullets and hot gas can remove tiny burrs from the bore. If the bore is kept covered in jacket metal and powder fouling, the burrs will be tough to remove.
The "adjustment screws" really don't do much. You need to replace/lighten the screws, but if you don't understand triggers, get the Moyer. I put one on my last No. One and it works great. It is actually a duplicate of the old trigger found on older vintage Rugers and allows real adjustments.
I gave up buying cheap scopes years ago after being burned twice. Too bad I had not read the following site, it would have saved me hundreds of dollars wasted on cheap junk:
http://www.charm.net/~kmarsh/scope.html.
