As I understand it, there is nothing your HOA can do to limit your choice of antenna -
http://usatoday30.usatoday.com/tech/...nna/54582432/1
If you search, there are many, many posts here on this topic.
Your local community can set a limit on height for antenna structures, so as not to impede aviation and such. But typically that's something reasonable like 200'.
So as the article above advises, tell your HOA to stuff it.