I had the same problem/ sound with my car, but the problem was not the tires. Then a vibration started at high rpm only then in a matter of 3 weeks, it got very bad starting at 2500 rpm. I took it to a ford dealer in Quakertown, PA and they said that it the air filter changing the flow into the intake maifold resulting in an electronic problem the runner in the intake maifold. They wanted me to pay $90 hr @ 3 hr just to look at it because my car was consider highly modified (All I have is the basic bolt-on, no FI or nitrous). I could not belive the could do or say that. So I called ford and the gave me a new dealer to look at my car. It went in on a monday and I got it back the following fri. The problem was very bad. It was a brocken axal bearing which calsed the axal to twist, sway bars, sway bar link ends, wheel bearing, string box, and struts in the front. I could not belive the other dealer it not see or care to see the problem but pushed it off to me to deal with. Now my car runs great, just like new. The reason every thing wore bad because I drove the car over 3,000 miles before I could get it in to get fixed. I am not very hard on my car and never spin the tires. I just drive it to school and now it is 1.5 years old and 35,500 miles on it. Just able to get it fixed for free.
Andrew