Jesse,
I use running rigs often, just as shown. If you use a different weight (than the one shown), such as a gripper, you can use method on it, but you can use it without the method as well. Throw the method balls out and cast to where the chum is.
The limper your hooklink, though, the more often it will get tangled on the cast (in my experience). Some shrinkwrap on the lower helf of the swivel and a few inches of the hooklink can help with that.
Big Daddy, I would switch to black snap-swivels if you can find them; the shiny ones sometimes put off the carp.