You either need to settle this or retain counsel to bring a court proceeding. Is there already a divorce settlement pursuant to which you child support and/or other expenses? What if anything does the divorce settlement agreement say about the costs of visitation?
More fundamentally, why shouldn't you pay the costs of visiting your daughter, and why should you expect your wife to pay? I am not sure I understand your reasoning--you chose to move and so why shouldn't you pay the travel costs?
In any event, if you cannot resolve this amicably, then your only option is to retain counsel. And the costs of doing so will probably far exceed your travel expenses. Is this really worth fighting about?