If your daughter is willing to do more Lyme treatment, I would try that. There are doctors who will treat based on the psychiatric symptoms she has, since it started when she got Lyme. You might have to come to the US for that. It is controversial and you will have to make sure you pick someone who goes by ILADS guidelines for treatment. There are coinfections that can go along with Lyme that maybe she needs addressed. You can find a doctor by posting on lymenet.com.
There is a therapist in CT that works with families and people who are affected by Lyme. She does a lot of phone consultations. I think she could give you some good advice. I am sure this scenario is not new to her. If you want her contact information, I will PM it to you. You could also ask on Lymenet about that. There are probably other ones.
I believe that people with Lyme do have pain that comes and goes. I also think that it is easy to be distracted from it when life is going well. I don't think that complaining about it more means she is necessarily just manipulating you, although there could be some of that. That is where the Lyme knowledgeable counselor could help you.
Before kicking her out, I would try to help her, if she is willing.