T.K.
I fumbled through this situation myself.
Two important things I want to impart from my years of experience.
one - Don't ask your daughter. You and dad decide. Asking her puts her in a terrible position. She either has to hurt mom or dads feelings. Asking her seems like the right thing to do, until you step back and realize what kind of choice you are giving her. Do you want to break mommys heart or daddys?
two - It's going to be really important that you find something constructive to do while she is gone. Get a hobby, go work out, make plans. She will be much happier if she knows you are happy. Then, when she comes home, you both have fun stories to tell each other. Rather than her feeling like you will be sitting at home crying the whole time she is gone.
I know you already are so supportive of the father/daughter bond. These are things I had to learn the hard way and want to share with you from the heart.