As Lucky said the base price for anything half decent (with a million hours practice) is around $1000 (Can pick up a vehicle for ~$700 + ~$300 gimbal). Narrowing the vocal length, or zooming in on the image is going to require a much better gimbal and craft which is not seen in the cheap price range as I said earlier.
Here's why I DON'T think you should invest in this area: Aerial video is a very specialised area, an area that any who are able to produce professional looking imagery actually do the job full time or taking a significant amount of time for practice and knowledge. Unless you are having a change of thought, this isn't the area that you want to specialise in... Yes anybody can pick it up and fly it around in circle, but to actually produce good footage requires immense knowledge, massive practice and quick thinking.
There are no official ND filters for GoPros, though there are a lot of 'home made' ones.
Tonnes of people get good establishing shots without aerial video. Until really late last year only the biggest of budget productions even had aerial shots. I saw the suggestion for aerial, that was only a suggestion, I don't think they were saying that's the only way...
Mounting to a car you can probably get it without shakiness if it is well mounted