— I would focus on getting on the board, including campaigning and seeking people’s appointment of you as their proxy. This is a time-honored and law-honored tradition at HOAs and COAs. Hopefully you have folks who feel as you do also running for the board so you can cause the change you want.
— Your bylaws and state law likely give the board the sole authority to appoint officers (meaning President, VP, secretary, treasurer and possibly other officer positions). You should check. If the board chooses not to appoint a qualified person to an officer’s position (VP here), and if for some reason you think this is causing some kind of real harm (and if so, what?), then your remedy lies mostly in first filing a formal complaint of a violation of bylaw abc or state law xyz (if there truly is a requirement to have a VP). Subsequently you could threaten suit. However tying up the courts with something that is not doing harm (IMO) seems imprudent, to say the least.
— Your state laws may have more to say about violations of the bylaws and what remedies you have.
— About this being the third resignation and vacancy this year: Hackneyed but true, I think this is what it is. Getting folks to volunteer for a lot of work that demands much study to do competently, and absolutely will include a lot of conflict, is hard. Apathy at HOAs nationwide is the rule.
— I doubt the bylaws or state law require directors to serve as officers.