R.R.
Your baby sounds perfect. I was in the same situation. Definitely don't worry about the babbling, my son was a little late with a few milestones, he tended to do 3 or 4 milestones all at once(crawling, standing, first word at 9 months) and he is totally normal. It is great that you talk to her and explain what you are doing and in the future you will find that even though she doesn't mimic you at 6 months, she is taking it all in and remembering what you said to her and before you know she will be babbling and then eventually talking back to you and you will be in real trouble :)
Anyway, good luck with everything. I know how hard it is to be away from family and friends.