Every SAR group I have worked with or heard of is against charging for their
services. They do however welcome donations from those rescued. The current
folks I work have meetings each month and often the rescued attend or send
cards and donations.
Some we have found send thousands of dollars, some send a $100 check each
year, some send a card, depends on their means.

One reason I do not like charges relates to a search about 30 years ago
in Idaho for some hunters. They didn't want to be rescued and pay fines,
so avoided our search team and tried to follow the tracks out. They didn't
make it. Died of hypothermia. We found were their tracks showed them
hiding when searchers went by.