My DH is working away right now and we are all really struggling with it (a 4.5 and a 1 year old, well, the 1 year old is not struggling with it as much, bykwim).
Everyone always minimises the impact of this, and says things like: "oh well, at least there's Skype" etc. But the reality of Skype and the phone is unfortunately really stilted crap conversations, trying to convince my DD to speak to her dad when she is otherwise distracted, and endless technical difficulties and and sound quality. Adults can get around this (just) but kids really find it difficult to have proper communication. We don;t have a time difference, either, but that would make it even worse.
After we do see him in person on his visits home, I have to deal with the fallout, and my DD has meltdowns everyday for several days after. It hits her hard, but she can't really articulate it. Just now she keeps asking me how any people are in our family.
Then there is me. I know rationally that we made the choice we had to make (i.e. It wasn't really a choice), but I am literally getting no time off parenting. Surely that would be true for you too, and you don't have a say in it? I think this would be very tough on you, and will not aid collaborative parenting in the future at all. It's a big, big decision, and I'm not sure why people are saying it's nothing to do with you. Are you not entitled to at least discuss the ramifications of this with your DD's dad?