If it isn't possible for you to move closer, all you can do is ask the court to order an arrangement that you believe is in the best interest of your child.
Maybe you could suggest meeting half way or undertaking one journey each as this will be easier for the child.
I can't comment on your case specifically, but what usually happens if you can't agree is the matter will be listed for a final hearing and both parties will be directed to file full statements prior to the hearing. You can attach evidence to that type of statement.
@Daddyup unfortunately not. I just want to pick him up and drop him off, I don't need all the drama and lies!
@yoda can you only give evidence on that hearing? I think it does need a proper hearing to get it all sorted.
Occasionally a court will hear verbal evidence if they have time but usually you would submit final statements with evidence attached and then have a full final hearing. It sounds like that will be the best option.