In which order?

[The[cookie]Doctor]

I think Winter Grace (your surname) is a perfect fit, really, N - it's gorgeous.

I prefer Winter to Piper. and I don't think the two 'er' sounds work together.
But like others have said they are not often said together.
I like the bargaining chip too - C has DH family name already and Grace is meaningful to you, so why not?

Good luck, I hope this little girl makes her arrival soon, I will be stalking for more of your gorgeous and creative pics