My son didn't start daycare until he was 18m, and he only went about 6 hours per day (3 days a week). He was at the end of his cow's milk allergy so we just left a quart of goat's milk at the daycare every week or two.
At my son's daycare, in his age range (2 years), they only give the kids one small 3oz cup of milk per day. At one year, he was nursing often enough that I probably would have tried pumping, but I doubt I would've gotten much. In that case, my suggestion would be either cow's milk, if she tolerates it, or goat's milk, or rice milk. Or you could even alternate it, and let her have the cow's milk some days, pump on occasion, and send goat/rice milk at other times (rotation works good in our family with all of our allergies). You wouldn't have to worry about the whole-milk issue (babies from 1-2 years old should have whole milk) because your child is still nursing 2-4 times per day and is getting all the stuff she needs. REally, you'd probably even be fine telling them to just give her juice,or water during the day, if she eats well. If she's nursing fine after work, and eating enough, she doesn't need any additional milk.
Goat's milk is pretty good for babies, and it may be gentler on their system. My son loves it (blech!)