Well I think the "don't worry about drying up" has been covered so I will offer something else.
I wonder if this is more of a "I need to know my mommy is here." thing more than a nutrional thing. I think it is so great that your husband can be a stay at home daddy, and I'm sure he is wonderful at it, but he isn't you. You gave birth to that beautiful little girl! You pushed her out (or not), they handed her to you, and the two of you connected! As she entered into this life, perhaps a little terrified at the change in her small world she had you to comfort her. You nursed her providing the greatest comfort a woman can offer her child and perhaps her not wanting to let go of that is her way of saying "I miss you mommy." It could be her way to reconnect to you, her comfort zone.
I hope I'm not making you feel bad for being a working mom, you guys are doing the best that you can with what you have. I'm honestly just saying "Be patient" you only have so long to nurse that one child. To feel that reconnection with that one sweet little baby, don't rush it with worry or stress.
If you are looking for a new liquid to try you might want to consider giving her raw goat milk. I know it sounds awful but it is the closest thing to breast milk and it doesn't stink until they pasturize it.
Good luck and just remember that you are a good mother!