I mentioned critical theory elsewhere in these comments. There's also gender theory, Marxian theory, postcolonial theory... basically, if it comes out of the social sciences and has "theory" in its name, it's probably value-loaded.
But these frameworks/theories are pretty damn established, as far as academics are concerned. Postcolonial theory and gender theory make a hell-of-a-lot of sense. They're crowning accomplishments of their fields, or define fields. They're worth having a class about them. Most academics would also say that they consider distinctly right-wing theories intellectually weak, or simply invalid; they'd no more teach them than a bio professor would teach creationism.
If you strongly feel all of mainstream academia is biased, then pick a school known for being right-wing. Academia's culture is an issue worthy of discussion, but well outside the scope of "should history be in core curriculums".
Maybe things like game-theoretic explanations of power dynamics, or something like discussion of the sociology of in-groups and out-groups when discussing nationalism, or something similar, are neglected in these classes. If you think that, I wouldn't disagree. I guess most professors would probably say "leave the sociology to the sociologists; my class on the industrial revolution doesn't have room to teach about thermodynamics of steam engines either".
I think linguistics does an outstanding job with its methodology, so that could be a good place to start looking.
I don't know much about linguistics, except that Chomsky is a Linguist and that some people like him and some people don't.
I do know it is on the harder end of the social sciences. The softer social sciences and humanities simply won't be able to use a lot of nice, rigorous tools.
This in itself is a problem. If you start with a group of students that have been exposed to a biased perspective, you don't make them less biased by exposing them to a perspective that's equally biased but in another direction. We've all read the cog-sci paper measuring strength of identification through that sort of situation, but I expect this sort of thing is especially acute for your average college freshman: that's an age when distrust of authority and the fear of being bullshitted is particularly strong.
I think good teachers, even ones with a strong perspective, approach things so that the student will feel engaged in a dialogue. They will make the student feel challenged, not defensive. More of my teachers achieved this than otherwise. Bad teachers and teaching practices that fail to do this should be pushed against, but I don't think the academic frameworks are the main culprit.
If you strongly feel all of mainstream academia is biased, then pick a school known for being right-wing.
If left-wing academia is low quality that in no way implies that right-wing academia is high quality. Seeing everything as left vs. right might even be part of the deeper problem plaguing the subject.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.