Hate to be a naysayer, but I reckon a bay12 corp is a bad idea.
Most of the guys around here who already play will already be in various corps that cater to their interests, maining it'd be mainly comprised of new players. Eve is a pretty damn complex game and you can really benefit from playing with people more experienced and knowledgeable when first starting out. There are already a plethora of corporations and alliances dedicated too teaching and helping out new players, with the infrastructure and know-how to do so effectively. Much better than a blind leading the blind scenario.
I was generally excluding people who already sub, for the reasons you state; they've already found their place in New Eden. You, werty, Sky, a few others that have posted recently.
I was thinking more about people that did a trial (or trial+ through steam), EVE didn't gel for them the first time, and might want to return to kick the tires. Also people like me that subbed for a while once upon a time (so they nominally Know About Things), but aren't in a position to jump back in with both feet. Then finally, genuinely new-to-EVE people that are willing to take a look now that there's a free offering.
I'm reluctant to push flighties towards established corps right out of the gate for a few reasons. A lot of corps want Big Brother type API access; I understand some of the reasons why, but I think it's a little too nosy, especially for new people not truly understanding what the API potentially exposes. A fair few corps have participation requirements that may not be feasible for some people, especially if they're playing free and not heavily invested in sticking around. I have a standing invite from a dude to (redacted) in nullsec, but the baseline fleet participation is basically twice a week; doesn't sound bad on paper, but when you've got boring RL adult crap to juggle, even once a week can be difficult.
My aims for a Dorf Corp would be pretty low, really... Have people to fly with and practice basic fleet ops, some modest socialism to help fund/enable activites (or ease losses), and some light mentoring. Help people find the resources to do what they want to do, and maybe a little matchmaking with established corps that suit the activities better, once they have a sense of what they enjoy.
re: learning corps... EVE University seems to have a good wiki, but their application process looks a bit cumbersome. I also read some tibdits that EVE-Uni has some internal strife recently. Anyone with experience or intel on either note?