I am generally very supportive of this.
1. The amount that would be donated via Bitcoin is too small to be worth the trouble.
This objection is the easiest to refute; all we need is to demonstrate the quantitative aspects of our willingness to donate, and this is what this post is mostly about.
Can you ask them to qualify how much exactly makes it "worth the trouble"? Once you have a specific target amount, and escrow, I will willingly donate $50 to this cause.