My first thought would be to ask friends and family to help, but thinking of my own situation that wouldnt be a possibility since everyone is far away.
For short term stomach flu, I have parked the kids in front of the TV while I laid on the couch. Not my normal way of parenting, but it got me through. I dont think that would be a great option for weeks, though.
You could enroll her in daycare for the time being, just to get you through if youre not fond of daycare. Shell get lots of activity, attention, and outdoor play. Another option would be to go on sittercity.com and find daily help, a nanny of sorts. That way shed be at the house with you, yet you wouldnt feel quite so bad needing to rest when you need to rest. If you found the right nanny, she could also prepare meals and do laundry.
This sounds difficult and painful. I hope that you recover more quickly than you expect!