States with really low unemployment rates right now include North Dakota, Nebraska, and South Dakota. Those states have unemployment rates down in the 4?ange, which compared to the rest of the country, is amazing. And those states often also have a hard time attracting enough people to their jobs, due to the low population densities in those states, and the lack of desire of people from populous states to move there.
The Dakotas, for example, are actively hiring in many industries. Their Department of Commerce even has a website, specifically set up to help people from outside the state find a job, a house, and etc. http://www.experience.nd.gov/default.asp
An option would be to look at working in one of those states for a few years, to gain experience for your resume. Then maybe you love it and you stay, or maybe you parlay that experience into a job in a state you like better.
But even within "not hiring" states, there tend to be pockets of industries that are hiring. It's a matter of identifying them, and matching your skills to their needs (more training may be needed.) And if you'd prefer not to move, there are things that you can do now to improve your resume, so that when employers do start hiring again, you're attractive to them. One thing that can really help is to do career-related volunteer work, to build experience for your resume. Volunteer work absolutely counts as work experience. If you got involved with an organization that you liked, and worked for them steadily, over a long period of time, you'd put that on your resume as work experience, even if it was unpaid. It totally counts, and it's a way of gaining career-related experience, to make it so you're attractive to employers that do pay.
If you've only been looking for jobs within specific fields, one thing you could try, where you are now, is to broaden your search. Look for lower level jobs, but for companies that have a solid record of promoting from within. Examples include large department stores (Macy's, Bloomies, Penny's, etc.), food service chains (McDonalds, etc.), Starbucks, package delivery companies (UPS, etc.), the state and local government (including town gov't, and the US Postal Service), hospitals, universities and colleges, etc. You genuinely can start low at companies like this, doing anything, and with good work and your degree, work your way up into company management. In fact, places like McDs strongly prefer to hire into mgmt. people who've proven themselves on the front line. And I know that some people may think "McDs - terrible", but it's far from it. It's a solid, successful company with huge opportunity for someone with a degree who is willing to work hard.