Most data entry jobs require prior experience, if not in data entry, then at least prior work experience.
Only retail and food preparation do first time hires.
Anyways, unless you've got high-up connections, this is something everyone goes through. Only the top 10% don't have to deal with it.
Well OP has shown that he's not willing to be flexible so he might as well shoot for the stars and have more of a chance at those jobs. If you enroll at a temp agency, you can get these jobs easier in the short-term, and if the employer likes you, then you may have your contract bought out, and if not, then you now have experience in data entry and can apply from there.