After our last home in Texas, complete with HOA, we swore we would never live in a neighborhood with all those silly Karens around with nothing better to do than to harass their neighbors...
So, I would first read the HOA rules very carefully and see if there is any loophole that would allow you to have them -- like your surrounding neighbors don't mind and you don't have a crowing rooster, etc.
Next, you might want to see if the HOA is stringent about enforcing all the rules in the rulebook. If they have singled you out and are not enforcing other rules, then you may have some way to reason with them about this. Quite commonly, you'll find that they aren't enforcing rules that they don't personally like -- some things like not being allowed to park travel trailers on their lot, fences and/or home modifications that weren't approved by the HOA, running a business out of the home, you get the gist...
Also, if you have other like-minded neighbors in the subdivision, get together and change the HOA rules at the next meeting. You just have to work within the HOA guidelines on what those procedures are... if none of your neighbors will support you and the HOA board is responding to a complaint by one of your near neighbors, it may be more difficult.
Good luck!
