I agree with altering your resume/ application. You don't have to put everything on it. If you are applying for a job where you think college is a disadvantage, leave it off. Or just put the community college. If asked directly, don't lie. You should be able, with your English speaking ability, citizenship, and a willingness to work very hard, be able to find some kind of minimum wage work. Maybe short term farm employment, fast food, or waiting tables, day labor, etc. I have actually hired people off of craigslist to do things. Try posting an ad saying you will do yard work, moving, chopping wood etc. for $8 an hour. You might get a taker. This is a short term plan.
What I think they meant by you aren't "big box" material might be something that is a problem overall: When the job is dead end, people at least want to work with others who are happy, optimistic, fun, etc. The bosses don't want you to THINK it is a dead end job. So, you have to fake it. When you are desperate and smart, this is hard. But you can do it! Also, to these employers things like being clean, dressing appropriately, enthusiasm, and arriving on time are very important- more important than in higher paid jobs. Get your food handler's card if you don't already.
I understand your family won't "help you out" as much as you thought. Even if you can't live there, could someone serve as your address so when people look it up it's a house instead of a motel? Or serve as a character reference to say you are hard working? Let you use their washer/dryer, iron, and ironing board?
If you do move to ND, be prepared to live in your car. Employment is high, but there isn't enough housing.
Are you involved in any sort of community group? I always think of churches in a situation like this. If you can ask around, you might find someone willing to let you use their appliances, park in their driveway or parking lot, or pay you some cash for some yard work. There might even be some business owners who would take a chance on you that they otherwise wouldn't take. There are, of course, other people who will do these things outside of churches, but Sunday at 11am is a good time to find a large group of them all in one place.
Meanwhile, apply for food stamps and find the food banks. You do not need to be spending money on food if you are going to lose your place to live soon. This will buy you some more time.