Have you specifically searched on the job boards for psychologist jobs with "trainee" in the title? Most of the psychologists I know started out as a trainee, so they were paid a bit of a lower wage while earning the hours and supervision they needed to earn their license. Those jobs are specifically looking for someone like you who has your degree but does not yet have a license.

Hang in there. The job market is rough. I have a PhD and just quit my job and moved across the country to take care of my ill parents... so now I'm on the job market again too. It's HARD even with a PhD and 8 years of experience!