There was an appeal process at my D’s HS but it involved lengthy placement tests and LORs from other teachers in related coursework. For history, that would have been the recommendation from the english teacher.
I have a word of unsolicited advice - your academic career is going to be dotted with subpar teachers, even at the college level. It’s YOUR job to figure out how to succeed in each and everyone of your classes, regardless of the teacher/professor. As soon as you start struggling, you need to find extra help.
“Solely blaming the teacher” is simply not an excuse that is going to fly anywhere and I would highly doubt that will work with your board of education.
Sit down and figure out what you could have done differently in this class, how you will proceed if you struggle again in another course, and take the non honors version of history next year. If you can ace it, then move on to honors or AP junior year.