Sorry to disagree with everyone, but I really don't think you should be agreeing to meet him even half way: I think while she is so little, he should be coming to her, and I think (though of course I may be wrong) that a court will agree.
The thing is, your DD isn't a parcel, she's a baby. He's expecting her to travel almost 4 hours, and that's just too much time for a baby her age to spend in a car in a single day. Even a place that was really half way would mean 2.5-3 hours' travelling for her, and I still think that is too much. IMO it is too much until she's old enough for an overnight stay, and she isn't yet... Unless - and it's a big unless - she sleeps well in a car and you can plan to do your journeys during her nap times.
Basically have to ignore her while you're driving, and if she's awake, it just isn't possible or good for her to be ignored for 2 hours at a time. If she's awake, she'll need you to talk to her, hold her, touch her, entertain her, maybe feed her, maybe change her nappy... And it isn't safe for you to do any of this; and it isn't safe if you don't, because of course she'll cry and distract you.
It might be do-able to take her on such a long journey as a one-off, if you could plan it carefully - but we are talking about regular contact arrangements here, and she can't do that kind of journey regularly. It is in her interest to do as little travelling as possible at this age.
IMO he is thinking of this as 'him against you'. He is thinking of your travelling compared to his, but not hers. Maybe it would be 'fair' for you to meet half way if it was just the two of you meeting up, but of course it isn't - it is him meeting up with his baby daughter, and 'fairness' doesn't come into it at all. He is the adult, and the parent, and he needs to make the effort for a few months or a couple of years, whether he likes it or not.