If you don't want wicking marks, you have to sensitize the paper in one smooth motion.
The method I've heard of for coating with a rod is to lay down a line of silver nitrate at one end of the paper and pull it straight across in one pass, and then you cut off the uneven edges, including the area where you put down the line of silver nitrate. Whatever method you use, you always have to coat larger than you need and cut off the excess.
If you look up Reilly's book at albumen.stanford.edu, it explains how to clear the silver nitrate solution with kaolin after it has been used, so you can reuse it. This is what I do.