Try this site to predict your results;
http://transition.fcc.gov/mb/engineering/maps/
The Winegard 8200 is one of the few broadband designs (Lo-V, Hi-V and U)left from the analog era. Its also about the most serious DX antenna available along with its arch-rival the Channel Master 3671.
If you try out the first one in the first link, you may find it to be a bit better than rabbit ears but it is a very small broadband and therefore not very directional.
The second one is a VERY good (an old 4-bay) UHF design and might actually get your Hi-V stations as well as killer UHF.
You will probably need the 8200 just to get KCWX, your only channel on low band VHF. Its for you to decide what to spend.