Special formula for baby brinleigh

I am the mother of a beautiful 5 week old baby girl Brinleigh. Since birth every time feeding time would come she would scream and cry as if in pain through the whole bottle and even after she would vomit up puddles of spit up and continue to cry and be unhappy all day long than a nasty rash appeared on her face and neck along with a few on her hand. I than did some research and said oh my god my baby definitely has a milk allergy she had every sign and symptom. After trying good start, Similac, parents choice and every sensitive formula with absolutely no improvement. I than read up on Nutrimagen A+ formula which is for babies with a milk allergy. Ever since having her on this formula she has been a changed baby! Her rash cleared up and she actually has happy content times throughout the day and spit up has become minimal. Only issue is we struggle financially and this formula runs us from $23-30 every 4 days Which becomes expensive. We took a drs note to assistance since we only receive $84 from them a month which is nothing and they say we do not cover formula for kids with a milk allergy and were treated horribly by staff. We were featured in the guardian newspaper if you would like to read our issue there! Any help would be so very much appreciated! Thank you in advance. I will also not stop my fight to get this covered for my precious baby girl!
http://www.theguardian.pe.ca/news/local/2017/1/6/p--e-i--government--neglecting--five-week-old-baby.html