Sounds like your HOA might have let their incorporation papers slip anyway, so they might not even actually have any power. Don't assume that even if some folks meet and call themselves an HOA, they might not have any official power or capacity, and could be operating as essentially a volunteer citizens group. Frankly, if your HOA paperwork says you can have chickens, and you see others with them, you're probably pretty safe. As for asking the county, ya gotta be real careful there. I know of at least three Municipalities who told people they couldn't have chickens, even though they could. And that isn't even counting the poorly written ordinances that were inteneded to bar chickens that really don't, due to being drafted by morons.
It's best not even ask them if you can. Ask them for a copy or the specific numbers of the ordinances about keeping poultry instead, and verify it for yourself. It can be amazing how little local officials actually know about their own laws, and even the municipal attorneys can be surprisingly . . .well . . .dumb.