I understand your predicament and if I was in your position I would let DD go with your parents. I know you want her to see you daily, but she will be ok not seeing you. I had a similar prob with my DD (who was 3.5years) and basically in the end I did what was best for her routine and my worry levels, and she didnt' see me and bubs straight away or consistently for first few days, and she was fine. I think it was more me missing her and worrying she would feel neglected,rather than her feeling left out etc.
Good luck with your decision, just dont feel that you will be letting her down by not seeing her at first. It might be nice for you to focus for a few days on getting you better and meeting bub and then feeling a bit more on top of things when you have DD with you. xoxo