Accounting Career W/o Bachelor's in Accounting?

I graduated from university with a bachelor's in sociology five years ago. Since then, I have worked in accounting, on my way to passing the CPA exam (have one more section to pass), and fulfilled my accounting courses at a local college.

I want to move up in the accounting world and work at a big firm (regional or even Big 4). However, my resume seems to get skipped instantly because I don't have an actual bachelor's in accounting or business.

How should I proceed with this? Should I go for a master's? Should I try to do a post-undergraduate program and get a bachelor's? Or am I SOL?

Thank you for your help.

Suggestion:

Network. Build genuine relationships with people at big four firms. Some are desperate to hire; they may support your education. Seek alumni from your school … friends of friends. Buy them lunch, coffee, etc. Be really nice and giving. Ask them for advice.

When you finally establish a relationship with someone, it's easier to ask them to assist you. Frankly, no matter how a company is structured, having someone internally hand your resume to someone else internally is never a bad thing.