I'm not in St. Louis so I can't tell you how hard it is there...but it was fairly easy for me to get a outpatient psych job where I live. I got it a lot faster than I did the inpatient job
However, most outpatient jobs will require prior experience--my employer wants 2+ years of inpatient experience for any outpatient job--and may not be keen on hiring a new grad. Even though it's outpatient, you still need a strong knowledge of psychiatric conditions, medications and treatments, as well as great therapeutic communications skills. Also, you will be working more independently than you would on an inpatient unit: a lot of outpatient programs will only have a few nurses for the whole program, and for smaller programs, it may just be you. So you will also have a steep learning curve.
The fact that you have tech experience is good and may help you overcome the lack of RN experience. And you have nothing to lose by applying.