No-name school better for Econ or finance?

More realistically, OP won’t be hired by the UN or World Bank as a US citizen, at least not without a phd and even then Americans are less than 15% of the staff. IME Congressional staffs are not hiring based on any kid’s supposed expertise in a bachelor’s degree.
A finance degree will help for commercial firms with those online applications with a pulldown menu for specified majors ( more than you might think).