It is absolutely not an omnidirectional. It's bi-directional on high-VHF (you only have one VHF station), and moderately directional on UHF with a 10-15 dB F/B ratio.
I'd try a 4-bay UHF antenna with its reflectors removed and see if that does the trick. You might have to add a separate VHF element if WTVI gives you problems. It's very strong, so I'd suspect that most UHF antennas will still pick it up okay.
Trees will probably be your biggest problem down the road.
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