Life as a Product Design Intern at Khan Academy
elizabethylin.com
elizabethylin.com
And the portfolio site in general is really something else. You should definitely be more than an intern!
I worked for a guy for nearly 4 months at a sub-par pay. That work turned into an opportunity that brings in six figures every year.
I understand where you're coming from, but sometimes, you have to give before you can get.
But, if they don't than I'm 100% with you. It's better to work on something worth doing for less money, then work on something you don't feel passionately about for more.