Like you, I have fond memories of my Cabbage Patch Kid and wanted my daughter to have the same.
For my daughter's 1st birthday, I bought her one. Since she was not old enough to tell me what she wanted, I went to their website and searched for one that looked like her. I found one!! I called their number and "adopted" the doll. I paid a little extra to have them name her for me and changed the birthdate. I named the CPK the same as my daughter and gave her the same birthdate.. She wasn't to fond of her doll at first but now she is almost 3 and loves her doll. She thinks it's funny that her and the doll have the same name and birthdays.
I think that since she is old enough to know what she likes, let her pick out her own doll. If I were to buy my daughter another one in the future, I would let her pick it out.
Hope your daughter enjoys her CPK as much as mine does.