There are a few goat milk formulas that may work. Check out Hipp or Kendamil

Ugh, I understand - I was in the same position with my daughter. I ended up avoiding dairy in my diet the entire time I was breastfeeding. Is the allergy confirmed by your Pediatrician? If so they can probably recommend any diet or formula changes that you would need to make. There are lots of resources out there, but talking to a registered dietitian nutritionist could also be a good way to help you feel less overwhelmed?