If you are a FOSS fan then KiCAD is your go-to.
For free software that is not open source, I prefer DipTrace. You don't have to be a student to get a 500 on license, just ask. DipTrace, unlike Eagle has no board size restrictions. I also find it a bit more intuitive.
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However, Diptrace has pretty severe pin count restrictions - the cheapest version 300 pins, next up is 500 and only 2 layers.
That's pretty expensive for those restrictions, IMO. The unlimited version is 1000 EUR - which isn't too much considering the competition, but for a hobbyist not eligible for discounts, that's quite a chunk of change.
If it is only for non-profit uses then there is a significant discount, but I am not sure what they are asking for as justification (and whether or not the OP wants to make money with it).