p.1 #2 · Sound Shark parabola Microphone for wildlife
About 40 years ago I had a fairly large Sony parabolic mic setup. A parabolic mic blocks out high frequencies from the sides though at great distances it still picks up other noise in the aiming direction. I'm not sure how well a smaller dish would work on the low end, but maybe check one out. In any case, you will probably want to do some digital processing to clean up whatever you can capture.
p.1 #3 · Sound Shark parabola Microphone for wildlife
I'm biased because I happen to make and sell the Sound Shark but we have quite a few nature videographers/bloggers that are using the Sound Shark. Have you checked out the sample video gallery or bird watching pages on the website? They might help get a feel for what it can do.
They do have a bias toward higher frequencies but I have recorded WWII warplanes down below 50 hertz with good results. Using an equalizer in post will definitely help you capture good audio.