It comes down to how a person sees things. Here's a classic example. Lovely lady or old hag.
Sounds like you handled the survey itself well and professionally. As to handling this difficult client, I think most of us have met her ilk. Your State Board and the BBB have surely done so as well; don't lose sleep over what they might do. At worst you'll have to waste some time responding in writing. Doing so is just part of your overhead. If your Board is like mine, they don't want to be adjudicating boundary disputes. They will sift through her complaint looking for a violation of their rules. Given what you've told us they will not find one and will dismiss her complaint. She got what she hired you to provide, which is your professional opinion. Send her a "past due" invoice every 30 days and if she remains recalcitrant, think about small claims court or placing a mechanic's lien on her property. If you get nowhere, call it tuition and give up on collection and call it a mental health expense, which I've done a couple of times with no regrets at all.