Try a non-traditional approach and go for the best of both worlds. (Note: Whether this makes sense and would work depends on the details of the situation, which I don't know)

1) At your current job, bring up your idea for the new internal program and say you'd like to take charge of it. Don't ask for a raise, just say it's something you want to do.
You'll be helping _yourself_ out by A) learning new skills in your new position, and B) getting a promotion which looks good on paper.
You'll also be helping your _company_ out by A) setting up a new internal program which in theory will benefit them (if it's a good idea), and B) not asking for anything in return.

2) Now that you and your company are both better off, A) start keeping an eye out for people in your team (or from outside the company) that would do well in your current position as director. You can even start 'grooming' them for the position. B) Start keeping an eye out for startups that interest you (Angellist, etc.), go to entrepreneur meetups, come up with startup ideas of your own, etc. If you find a cool opportunity go for it. You'll already have built a more diverse set of skills, and look better on paper, both of which will help you get it. Meanwhile, if you don't end up leaving your current company, you've put yourself in a position for an easy raise if the project goes well.

Note: this strategy is only cool to try _if_ the project you initiate with your current company wouldn't totally fall apart without you if/when you decide to leave (i.e. if it's likely that someone else could take your place and keep the project successful and benefiting the company, instead of a liability). That way it's still a win-win, even if you end up leaving.

If you want to discuss your options more according to the specifics of your situation feel free to set up a call,

all the best,

Lee