Trisquel is based on Spain so I doubt it has a category that exists only on
the United States law.
Whit that being said, non-profits organizations, at least here in Mexico, are
able to have money and estate. They can even charge you for somethings they
do for you. And they can pay a salary to the members. As long as it is not
the objective of the organization to earn money.
For example, a non-profit can charge you for counsel or advice. But no member
of the non-profit has the right for a part of the surplus, that this payment
generated.
Even more if the non-profit is ceased, members won't get anything but what
they contributed. They won't have a part of the surplus. Those things, by
law, have to go to another non-profit.