While working in the Staffing Industry, don’t you do a lot of interviewing with potential employees and clients to find out what they are looking for … going to client sites and having Face-to-Face meetings with CEO’s, managers, directors … people you have never met before, taking notes, follow-up questions, etc. and trying to convince them that your company is the best ... and decide on a price.

That is your Requirements gathering, Communications, Negotiation and Persuasion Skills.

I would write a resume emphasizing those skills and how your decisions were valuable in getting contracts and adding to the company’s bottom line (Yours and Theirs) … after all, the person you placed is making money for you and the company they are working at.

Also, 

You don’t have to be a technical person to be a BA and gather requirements … but many of the BA jobs you see advertised will want some kind of technical skills (SQL, coding, Java, etc) … however, if you read the job description, the technical skills they want may not be mapped to any of the job responsibilities they list … so you might try those.

Look at the job description and write a good cover letter explaining how your current Client-Facing, Interviewing skills can get the job done.

Finally,

Just apply to jobs you see, the company might see something in your cover letter or resume they need … and if they don’t, they won’t come to your house and smack you around … they will just trash the resume and move on.

There is no harm in trying.