I was looking at the RadioShack Outdoor Scanner/Ham Discone Antenna???
If you can mount that antenna outside and towards the upper part of your house and you use a low-loss cable (RG-8) to connect the antenna to the scanner, there is a good possibility you will pick up tower pretty well.
I currently use a similar (older model) Radio Shack discone antenna now and live about the same distance with same obstructions for the Syracuse, NY, feed. This feed pulls in all but the ground-based smaller GA aircraft very well.
The one caveat is that I am about to upgrade to a J-pole antenna that was built for the frequencies scanned for this feed in the hopes that the feed gets even better reception (not my house pictured):Example of a J-pole antenna:
However, without having it up and experiencing it, I cannot yet recommend it. When the upgrade is complete I will be reporting back in the Feeder's Forum. Read more about that antenna here