Thank you for the advice. I have another issue with Cakes now: it seems to start and to get me to the CFW menu, but then, when I press ''boot CFW''... Black screen again. Do you know any possible reason?
EDIT: Okay, I found a way to fix it. It was pretty cryptic. When I tried to boot sysNAND through Cakes, menuhax triggered, getting stuck in a sort of bootloop. Since I have Type 2 selected to trigger menuhax, pressing the button selected breaks the bootloop and lets me access sysNAND with sig patched.