Just my opinion, but I think there are two ways you could approach this. First, though, hold on to the dream.
You've just graduated and landed in the worst recession since the 1930's. You look at your degree and there's nothing out there. Put the degree aside for a while. Any job, washing dishes, delivering pizzas, anything (long as it's legal) that pays something. If you are achieving a little, the "lot" will slowly take care of itself. It also shows a prospective employer that you're not just hanging around waiting for it to drop in your lap (it won't), but are willing to get your hands dirty and work.
Bit by bit pay off that debt. It may take a few years, but hold onto your dream. No debt behind you, gives you more freedom.
The other way out is to declare personal bankruptcy. You will end up with nothing and a black mark on you. Put your backpack on (that you stowed, full of stuff somewhere unaccountable) and hit the road. Have an address somewhere (parents, relatives) for basic legal and passport reasons.
On the road, it will be tough (even dangerous). But, you can work on one day cash jobs. Menial ones, to get some money in your pocket for the next stage of the journey. I've cleaned out ovens that they make dog food in, picked grapes, swept floors, ran a photocopier, washed dishes, unloaded semi-trucks, short order cook, and other things when traveling (back home I was a contract IBM mainframe Operations Anaylst and operator at the time). Usually I ran out of money on a trip and did whatever was there.
It can be done and for me it taught me a lot. The main thing, you are not limited to what that piece of paper says.
Whatever you do, don't walk out on the debt (in most countries that's a crime - eventually).
In both cases you will learn things and later on in life, be glad you did.