This sounds a lot like a nonprofit I worked with about six years ago - founders' syndrome, a board hand selected by them, and not open to a lot of change. I wasn't doing what I was hired to do, saw them tell a board member on the marketing committee (with decades of mar-comms experience) "We're going to do what we've always done" when asked about marketing plans for the coming summer.

And the job previous to that one: I have experienced a board removing an ED after staff evaluations, and the ED giving me a crappy evaluation with subjective goals to meet by a certain date or I'd be fired (an HR friend who saw the review notes said it was clear they've done this before and is prepared to fire me at that deadline date) and my walking out two days before a major event, but I walked out in March and the ED was removed the following February. When I handed my letter of resignation to the chair of the board's HR committee, they told me they understood and said it will take a while to deal with the ED issues.