There may be some things that you can do at home, and on video
chat, other then reading to them. For instance, playing (more) games with your daughter will give you (the at home parent) the opportunity to teach them how to win or lose gracefully. And that it is not so much the outcome, as the playing.
I'm thinking that since you've mentioned that you are deployed that your husband/wife is video chatting with your child. How often are you able to do that?