Set, could you agree regular facetime during the week, after your little girl has had her tea. Two half hour sessions each week would make a big difference. She could tell him about her day, he could read her a bed time story.
You don’t say how old she is but that makes a big difference. Why can’t he use his parents’ house, even if they aren’t there?
Don’t let him make you feel guilty. He moved two hours away.