There won't be anything that will work well at those distances, for that price. However, to answer your question...
The best zoom model I've seen in your price range is the Simmons that Wally World carries, or at least used to carry. I've not ever seen any other zoom model in that price range that is worth having. I was quite surprised at how good the Simmons was.
There are two compacts that can often be found in your price range. One is the Burris 20x, and the other is the Celestron 12-36x. They are pretty good for the price, but again, not really suitable for your distances.