I have used the same set up (rig) as described above, but with a nightcrawler. I was fishing for trout, when I found out that this will catch carp also.
You may not believe it, but I actually once caught several carp one day. I was using top-water bass plugs! But, that was a one time occurrence and not the norm.
Be sure to check the regs too. In most waters, carp fishing is legal. But, there are a few waters where is NOT legal. Devil's Lake at Lincoln City is one example.