Hiya,
Just a word of warning about Goats milk. DD has eczema and I have been off dairy for a while now and it has really worked. However, goats milk has exactly the same effect on her skin as cows milk. The advice I had from the dietician was that goats milk contains exactly the same proteins/sugars that cause the intolerances seen in babies and goats milk is nutritionally inferior to cows milk.
We were advised to use soya milk that is fortified with calcium. The dietician also told me that it is ok to give girls over 6 months soya milk, but for some reason (she didn't explain) boys should not be given adult soya milk until they are a year old. I was also trying, without much success, to pump enough milk for mixing feeds so the dietician gave us a prescription for soya formula and that worked well. You can buy this in chemists but it is quite expensive.
It may be an idea to ask your health visitor for a referal to the dietician.
The other thing is if you are going to use soya milk in the long term look out for gm free soya. Soya beans are one of the most genetically modified food stuffs there are in the human food market place. If it doesn't say it is gm free it is probably made out of gm soya.
Food for thought!
Good luck