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You do have a serious problem. The local channels are a lot stronger than the weak ones you want, they are almost in the same direction, and you have adjacent channel interference that is greater than the 33 dB difference in strength allowed by tuner design.
The only ideas I have are:
1. Insert an attenuator ahead of the amp to reduce the strong signals that might be creating IMD (Intermodulation Distortion) spurious signals that interfere with your weak signals
2. Use the two antenna trick, outdoor, as described on hdtvprimer.com to put the strong local signals in a null in the antenna pattern
3. As a last resort, separate antennas for the most important weak signals with a preamp and custom single channel bandpass filter from Tin Lee Electronics.
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