Michael, a VERY long time ago I built a Heathkit receiver and stuck a 100′ copper wire up on the roof. Even without propery grounding the thing brought in everything. It was amazing. I took it down so I could properly add lightning protection and properly ground the input and ended up in the Air Force before I got a chance to really set it up properly. However my experience leads me to believe you will have great results as long as, like Andy2 says, you make sure to minimize the noise by properly grounding the antenna input.
Do me a favor and let me know how this works out if you decide to go for it. I am getting back into radio and am considering doing the same thing, properly this time.