Assuming that you've passed the qualifiers of income, assets, yada yada
What are the deciding factors as to Legal Aid agreeing to represent a given case?
They usually do landlord-tenant matters, some wills, some emergency custody stuff, certain civil rights cases, senior law; they usually go for the low hanging or fallen fruit.
Their resources are limited.
Have you tried the American Bar Association Pro Bono site? They do some pro bono related work.
Maybe the next president will come up with a free legal care scam?