I think they would want me to chip in some money, which I don't have (graduated last year) or work with no salary, which I also can't due to student loans and being a foreigner (rent)
Ask anyway. Be prepared to walk, to give you more negotiating power. You don’t have to threaten to leave but having other option will make you stronger. Don’t worry about offending, coming across too greedy etc. be greedy! Ask for a lot and say you need a salary and you are not in a position to invest your own money.