Gosh, this does sound tough, and I can completely understand the panic, especially so late in the day. However, you have reached out for help here, and you can do it again in another context nearer to home so to speak!
I firmly believe you will figure something out. Beth's suggestions are really good, and whichever direction you end up going, should really depend on your comfort zone. Do you prefer to pay someone or would you be happy accepting help from neighbors and such? I think there is nothing wrong with either, but for some reason personally I struggle with accepting non-paid help on a regular basis. It makes me feel as though I should be paying them back somehow immediately (which isn't possible) and then just stresses me out even more. I obviously need to learn how to accept favors and know that people will be ok, trusting that I will be there for them in turn later! Also, generally people do actually like to help - if for no other reason than for the appreciation and feel-good factor.
I can only imagine what it must be like to have a child with sensory needs added to the mix, but like someone already said, checking out what rights you have from the government would be really sensible, as you might be able to apply some of those funds/resources to making your situation manageable.
Just curious also, why do you need to have a c-section? Have you had a previous c-section? Have you heard of V-bac? Vaginal births after c-section? It is possible to do for some. Again, may be a bit late in the day to look at that option, but it couldn't hurt to ask your doctor and get a second opinion if he won't consider it, or you aren't convinced he's got the best reasons for that. You'll still need help either way, because you'll be recovering from the birth and you'll be tired from feeding at night etc., but maybe you could get away with a few hours a day of help rather than round the clock care so to speak, which would be perhaps a bit easier/cheaper to arrange.
Best of luck to you, and here's to hoping the universe will provide you with the ideal solution!
Hugs,
A.