Recommendation needed.....plus size bras

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DD14 needs to move into a regular bra. So far, she has used cotton sports bras and they have worked well for her. She has inverted nips, so the thin cotton hasn't been a problem for that. She is autistic so the soft fabric and minimal structure has helped to keep irritation down. 

I don't mind spending $75-100 each but since I will buy her several, I can't go much higher than that. I know good ones can easily exceed that price but I am hoping with holiday sales, maybe I can hit that price point. She gets hot and sweaty easily, so need enough to be able to wash them daily. I am hoping to maybe hit some  on line Black Friday sales to get something good in my price range. Online stores would be great, or in person stores that I can go to ahead of the Christmas craziness! 

She wears a 3x-4x shirt and the sports bra I buy her is a 48.  I don't know about cup size, I assume within a cup of two of D, so nothing too hard to find. Any suggestions? I will measure when I pick a brand and see their size chart. I need something super soft!! Structure is less important than buying something she will not rip of her body. (She will rip off all her clothes if she gets extremely irritated, even if she is in public).