I think you might have a chance with that set-up. I do that quite often in Toronto, aiming at Grand Island or Buffalo with the CN Tower at least 90 degrees out of phase. Because the signal is so close and powerful, I am able to pull in signals from the side or back.

Try it - it might actually work.

Like Sherlock Holmes used to say "Rule out everything, and whatever is left, no matter how preposterous - is your solution"