I don't see why that would be a problem at all.... Just bring your one more easy going pup and enjoy yourself! Your girl will be at home with a person/house she lives with, I think she will be fine.
I personally don't think it's a bad thing for dogs to learn to be separate from each other sometimes.
Also, Lola is my moms pup and she has basically turned all into mine. In fact the 2 dogs are laying with each other right now. I hate leaving her but I have to to sometimes and bring Jackson with me, and she is fine and gets over it. She's just that much happier to see him when we get back.