A:
You could certainly try an amplified antenna. But read the reviews. Some are better than others. And some aren't as good as the one you have. I'd specifically look for a review from someone like yourself in an outlying area. Of course, the better ones quite often cost more. But, really, rabbit ears, or these modern iterations of rabbit ears, are mainly made for urban and suburban areas.
If you don't want to go with a dish, want to stay with an antenna and want good reception, you're best best is one of those big, old-fashioned things we used to mount on a pole strapped to our chimney about 6 feet higher than the roof. Of course, when you first set it up, you need 2 people because you have have to play that old "move it a little more; no wait, back a little" game (i.e., getting it positioned just right). Plus, in addition to the antenna and the pole, you have to buy enough cable to go from the antenna to your TV - not to mention drilling a hole in your wall to run it through, like the cable guys. Or you could just leave a window open. :-)