@Casey_03 - did you actually get a 'no' from the dream-apartment place, or are you assuming?
You are leaping from two possible apartments to you need to find a shelter option; you're also making some assumptions about whether the bad stairs guy really has someone else who can give him the money. Him saying 'I need it today' is not the same as him having someone elses' money in his hand tomorrow - make sense?
Slow down. As much as you can, try and slow down.
I do understand that your family is behaving badly - and even though there may be legal hurdles that they should be jumping through, they've demonstrated a tendency to act like you are still out of the country - even though you are right there. They aren't including you in the decision-making.
If there's a legal person you can ask about the will and the sale, and how the terms need to work. For example, if there was a lawyer dealing with the will after the death, you could ask them. You could also ask the lawyer who drafted the will.
It is in your best interests to know what your rights are in that regard.
Re: internet - does your computer pick up any pay-as-you-go signals (xfinity is the one I'm most familiar with)? You can use them on a day-by-day basis.
On the housing search - don't stop looking for those suburban options. That you found dream place is not a fluke; they are out there.
Most important, though - if you can, try and not go into disaster mode. You are very skilled at disaster mode, and I think it might actually help you in some situations. But in this one, with so many variables, assuming the worst on every front will only wear you down. I'm not saying you need to find optimism - only that it seems habitual for you to jump to the worst possible outcome, as a way of preparing yourself, maybe. But it doesn't really help. Try and find the more neutral way of thinking through the problems.