Actually A distribution amp is better than a giant antenna that can really catch the multi-path....
I see the station you are talking about, not very strong. Rabbitears.info has some guy in Fairfield CT saying he gets it borderline... I don't know what the distance/terrain differences are with you and that guy.... It also seems to indicate your station is on Trump Tower. A Religious station transmitting from atop the devils lair.... How-that-come-about.... Only 973 feet tall.... You might just need to raise that antenna up 10 feet.... They show you well within the coverage map with a good signal...
Well, good luck with how you do it, there is always tuned attenuators for the other stations if they are too strong. Maybe you don't need the dist. amp without getting an attenuator.....
My strongest station is 54 24x7 bible movies, and more on the other subs, I bet you would trade that..... I can get that one in the house with no antenna... They are on a hill, I can see it from some parts of town... I think it gets into my dreams too....
You might get 54 with a good UHF antenna pointed towards poughkipse.
http://www.rabbitears.info/market.php