The last time I was stumped about a college on a resume (about two years ago) it was a small Bible college in the Midwest with a graduating class of 80. The state directionals are significantly larger than that, and if you are interviewing in the region where you went to college, everyone will have heard of it.
You are in a tough situation- I don’t think you have the luxury of “less debt”. You need to figure out how to pay for college, period full stop. The federal government limits how much you can borrow. That’s your debt ceiling. If that means starting at community college for two years and then transferring- great. That’s your plan. Figuring out how to pay for a college that would require 30K per year in loans (which you cannot take) is a waste of time. Nobody is going to lend you the money.