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I'm not an expert by any means but your situation is very similar to mine with one desirable high VHF station almost 180 degrees behind you. I pick up channel 12, half the strength of WMUR, 20 miles away and over hilly terrain thru the backside of an eight bay UHF antenna. Your four bay antenna should also be capable of receiving a strong channel from the back.
I'm using a CPA-19 preamp from Antennas Direct. It has a lower noise figure than most other pre amps and good resistance to overload from nearby strong stations which might be a good thing in your situation.
You didn't say where the antenna would be mounted. Bad time of year obviously but outdoors above the roof would be best. Any other location is subject to signal loss and reception problems.
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