littleweed I feel your pain. It is SO exhausting looking after a little one with eczema. The constant moisturising and associated laundry, plus the stress of flare ups... it's impossible for other parents to understand I think.
I too BF'd my dairy allergic DD exclusively until weaning at 6 months. It is mind boggling and difficult to be completely dairy free, again I think it's impossible to understand unless you've been there, checking labels on everything from crisps to sausages...not able to eat out easily etc...
I would echo whoever said the BFing gets easier past weaning, but if you've truly had enough of being dairy free (and I did once I got to 8 months) then I'd say try your little one on one of the hypoallergenic formulas mixed with EBM first to make it more palatable.
You will also find once you start weaning that it's much easier to work with formula to make things like porridge than it is to have to faff about expressing.
My DD (10 months) is now BF in the morning then has one bottle of soy formula in the afternoon and one at bedtime. You will hear horror stories on here about the dangers of soy but, past 6 months, soy formula is recognised as a completely safe option so if your DD won't take to hypoallergenic formulas and is not allergic to soy, this may be an option for you too. The taste is fine and not horridly sweet like the hypoallergenic stuff.
You may also find, as I did, that you can return to a normal diet and carry on doing one or two feeds as a BF after your little one is weaned. My DD seemed to stop reacting to dairy in my diet once she was also eating other things rather than living solely on BM.
If you haven't had a referral to an allergist or eczema specialist yet and you are able to get to St Thomas's, ask your GP for a referral to Dr Lack at the paediatric allergy eczema clinic at St T's. They are totally fab.