a couple of thoughts,
1) Don't quit your job to look for a job, you can look for a job while working. Work Experience > education most of the time
2) I am a math major whose first job was accounting and I never had an accounting class. I didn't have connections to get the job, I just went to an interview a headhunter setup. Don't start getting down on yourself just keep looking for a job and believe you can land it.
3) Don't discount a job just because you feel you deserve better. I hate accounting but my first job was as a cost accountant working for a controller. It was not an elite job but I was able to focus on learning all I could, even outside of accounting. I took over for the controller and even got to try out internal consulting and corporate finance with my company. Deal with a crappy job for a while and see if you can get a promotion.
4) Education is thrown around a lot as a silver bullet. Working for a company and doing good work is important than your education. Even top programs will not help you 3-5 years out of school if you don't work hard. Plus education is expensive and unless you do a part time you will be giving up a salary as well.
5) I know i said this already but becoming unemployed because there is no growth is a terrible idea most of the time. Talk to your boss about a promotion or ask to change roles. Look for a new job first and only quit when you have a new job. Kids believe college will do wonders but once you get a job and start working your education is usually the 3rd thing they look at.
6) I have had multiple opportunities to leave accounting since I started and people change careers all the time. The easiest way to do it is within a large company or continuing education. I am using a Fulltime MBA to change.
You can recover from this but I suggest getting a job ASAP. GAPs in employment aren't fun to explain in the interview