Well you've got 3 months to try different techniques with settling, sleeping and feeding.

*settling for sleep - I know with the daycare my DD goes to, if any of the bubs are restless when they're tired, they will rock/pat to sleep. They do have pretty loud music on, though it's not rock music! Once she's asleep, would she sleep in a cot then, or does she wake up and realise where she is?
*not taking a bottle/sippy cup - have you tried many different sippy cups? I know a few parents who have this problem. All I can suggest here is to try different sippy cups until hopefully you find one that she takes. My DD would only take the MagMag sippy cup, refused the rest. If you can overcome this problem and get her to take EBM from a sippy cup, then the daycare ladies will be able to feed her back to sleep with it.
*separation anxiety - this is part of the reason my DD went into daycare. She started going through this, and I didn't want it to become a huge problem. You've probably tried this, but have you tried leaving her with someone she knows (grandparents/aunties/uncles) for a couple of hours, a couple of times a week for her to get used to it? And maybe leave something of yours (like a Tshirt) so she can smell you, and leave a comforter for her, like a teddy.

You've probably tried all the above, but I do hope things change and you're able to go back to work stress free, and also have some 'me time'. Good luck.