1) keep working on it at night until it becomes profitable enough that you can work on it in the daytime. bootstrapping is usually the best idea for people who have heavy responsibilities.

2) if you truly believe in your idea, you could take out a loan and use that to fund your project. depending on how much $ you need and what your savings and responsibilities look like, this isn't necessarily the best idea.

3) a more middle ground would be to transition to a freelance or part-time position that allows you to spend more time during the day working on your project while still providing you with an exterior source of income. could combine that with #2, as well.

4) look for a more local alternative to YC. they might not be as good, but they could provide you an alternative that doesn't require you to disrupt your responsibilities. there are quite a few (you would, naturally, need to figure out whats near you): seedcamp, techstars, launchbox, boostphase, founders co-op, capital factory, dreamit, hitforge.

5) search for a local VC or angel investor firm/group/etc. that might be willing to hear a pitch from you.