First of all, 13.5 hours?!??? Holy cow, that's a long way!
Secondly, if he's paying child support, then what you have listed above is the standard visitation granted to the noncustodial parent.
Third, I am going to speak from the viewpoint of the noncustodial parent... my husband was the one who did not get to see his daughter a lot when she was younger, first because he was in the Navy and then when he got out he was 1200 miles away. He would see her at holidays and a few times during the summer and would call her regularly (more than your ex).
When she was 5-6 years old, he decided that he wanted to exercise his right to have her stay with him during the summers instead of him traveling to visit her. He always paid for the cost of travel to AND from his house, he arranged the travel schedule with his ex at LEAST a month ahead of time, and he always had a adult fly with her (him, me, aunt or uncle, or grandma or grandpa). I think you can reasonably request these things from your ex, like Julie D said earlier.
Something to note: we only had his daughter for a few weeks the first summer, and she was miserable by the end because she missed her mom so much. Ideally, her mom would have exercised he right to visit her every other weekend during the summer, but she didn't, so it was hard on her. Each summer, we would keep her a little longer as she started to make friends in her dad's neighborhood and got used to the arrangement.
Even though your ex has been a useless father so far, I would give him a chance to be a part of his daughter's life (if he's paying child support like he should!). However, since your daughter hardly knows her dad, it would be ten times harder for her to be away from you, with someone who is basically a stranger... suggest that she stay with him only three weeks the first summer and increase from there each year.
If it has to be six weeks from the get-go, then absolutely make sure you fly out and visit her every other weekend or fly her back to visit you every other weekend (I realize that it may cost quite a bit with the distance you have). Also, you may feel she's too young, but you could consider giving her a kid's cellphone that she can use to call Mom anytime she wants.
Also, for the every other weekend stuff, we found it was easier for HIM to travel and visit HER, and it ended up being more like once a month because of the time commitment and the cost. The only times we made her fly was for the summer visit and the every other holiday. Perhaps if he has family that lives closer to you, they could arrange to spend his weekends there.
So I guess for court (which I don't have experience with either), my recommendations are to show the judge that you are willing to work out a visitation schedule, but suggest that it start out fairly limited until the two get to know each other better. I wish you luck and hope that your ex can turn into a decent father once he realizes how great his daughter is!
P.S. my DH enjoyed his daughter's visits so much that we have since moved to the town where his ex lives so we can fully be a part of his daughter's life