I suggest the Winegard HD7697P and a Channel Master 7778 preamp. Try the preamp with your present antenna first, then switch to the new antenna. The 7698 is bigger with a little more gain, but it is more difficult to aim because of the narrower beamwidth; that's the trade-off. The CM 7777 preamp has more gain, but it is more easily overloaded.
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was wondering whether a directional bow-tie antenna might be the way to go.
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Most bow-tie antennas are for UHF only. You need an antenna for UHF (real channels 14-51) and VHF-High (real channels 7-13) for CFPL 10, CBET 9, and WJBK 7.
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As best as I can, if my phones compass is correct it's slightly north of west
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I have heard reports that the iPhone compass isn't as accurate as a pocket magnetic compass.
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definitely trees and windmills in the path however
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Trees can block signals.
You have terrain interference because of the curvature of the earth, but the signals can make it over the peaks to a certain extent because of diffraction. I don't think you can expect 100% reliability. You can see that your location is on the fringe of coverage.
The coverage and terrain profile for CBET are similar, but it is at a slightly different azimuth.