Men generally wouldn’t be asking for childcare to be covered in this scenario.
But why is that? Isn’t this actually where the problem lies. They should be asking for it to be covered in these kind of scenarios.
The issue is that women have facilitated them to not ask. They have brine the ‘cost’ of this - often financially too, in terms of perhaos not working, or having to take a particular type of job, or to take annual leave or whatever.
Workplaces should expect that when people have to travel outside standard work hours and over extended periods, additional payments will/might be needed to cover costs incurred. They could be a range of types. The staff member should not be out of pocket due to work asking them to attend something away that extends several days and which isn’t usual for their job.
Men typically and traditionally didn’t ask because they had a wife at home who didn’t work and who picked up the slack. Times have changed and workplaces are slowly catching up - flexible working, payments as OP received - all reflect the world as it is and businesses have to operate (and pay) within that world where many people of a certain age have kids, and both parents work and there isn’t a free solution to the costs incurred by a sudden request to go away for 10 days.
What’s disappointing is when women choose to be the ones to suggest a request is unreasonable or wouldn’t want to consider it if asked as a manager.