Let's step back and look at the big picture. H's father is dying and he's reaching out to ask for your help.
When my late father was dying in the last week of his life, I could barely handle more than what was already on my plate and had a close friend of mine handle some nitty gritty details. I simply asked her to do x, y, z for me and she just did them without any expectation.
Do the same for H. He's UNDER A LOT OF STRESS right now.
Why not show case a different gr8 and show him that you can be a support to H?
This isn't about you at all. Set aside your ego and pride.
Simply say sorry that it is a difficult time for him and that you would glady help H with trip details.