HOA's are generally not tolerant of AirBnB and the rules of the HOA are usually too restrictive to make for a good rental property. I agree with the comment about requesting to be grandfathered in, but first I would talk to your neighbors.
That gives you and them a chance to understand why they might not support it, and what rules that you can lay out for guests, that might sway your neighbors opinion. Are there lots of kids in the community? Setting quiet hours, or clearly outlined rules about driving, guests, etc might ease their minds. Usually neighbors don't like strangers- explain your vetting process for guests, what kind of renters you predominantly have, and figure out which ones are acceptable. They might not relish lots of vacationers who are looking to let loose, but business professionals, people who are renting while getting special medical treatment, or checking out the area before planning a move might be less likely to ruffle their feathers.
Find out who might have small businesses in the area, which ones might be independent masseuses, yoga instructors, hairstylists, or do nails and "luxury" services, which ones might make handmade goods, which ones might have teenagers that Door Dash, or Uber, or work delivery jobs- and explain how your guests might be a benefit in terms of tips, more business, etc. Offer to keep a binder with their business cards, or names and numbers, so guests are more likely to frequent those businesses and services. Everyone likes money, and your neighbors probably do too.
Get a tally, draw up a petition, and ask people in the community to support your request. Find out who may or may not have supported it- sometimes it's just one or two particularly ornery and aggressive complainers, and the rest are okay with it. If you can get the majority on board, and are good at advocating for what you're willing to do to ensure that it isn't disruptive to the community at large, you have a better shot at changing their minds.
If all else fails, talk to an attorney about the situation. You probably won't make any friends, but you might have some legal recourse on the grandfathered aspect.
