Funding is important to me, for two reasons.
First, I'm married and we plan on having kids in the next few years. You might end up in a relationship wherever you land, and security/stability may become more important then. So, that might be a relevant factor now, despite your not being in a position to know your future relationship details (maybe you'll find a nice sugar momma/papa and this will all be moot).
Second, I have student loans to pay off, and paying them off sooner than later is way better given accruing interest. You might not have this to worry about (if by 'no attachments' you include not having loans). If it is a worry for you, it seems like it should only have minimal weight (unless you want to get married and become a baby factory, then you'll never surface from your debt).
The mentorship aspect seems most important, but also the hardest to judge. Why do you think program C wouldn't be great for mentorship?