Thank you for the question, sorry for the delay.
I'm afraid that the condition to get the low income apartment is to apply the section 8.
Section 8 is a Federal assistance provided by the US HUD. But the problem may arise with some landlords who doesn't want a section 8 tenant.
I suggest you contact to the local public housing agency and talk about it.
The secret to finding the right apartment is to balance these three factors. You need to find a home that will cost you no more than 30% of your salary, has a rental rate that fits the area, and has all the qualities you need such as appropriate amenities, good location, and is a clean, safe environment for you and your family.
Check this forum, maybe you'll find any help
Or these sites :
I think to apply section 8 is not difficult, is it? And I learned that if you have a section 8 voucher, you will have many benefits. But I don't know the fact, because I'm not a US Citizen and I just learned it from the internet.
I hope it helps you.