It's fine to post the desired salary range for a candidate no matter what that range is, you'll filter out the people who are or are not willing to work for that range, which is fine.
But 80-120 in Idaho is not equiv to 150-200 in CA. Most outfits that I've worked for and spoken with pay based on "fair and equitable" comp and do not attempt to complicate the situation with a "cost of living bonus".
By phrasing it the way you have, it sounds like you're trying to get away with cheaper comp "because of lower cost of living" without actually considering that you're competing against many other companies willing to hire remotely that pay significantly more regardless of locale.