I went into an ADN with a BA in psych. I had one for 5-6 years and went back for a BSN.
I think in some very narrow areas of employment (psychiatry, addictions, etc) you might have a hiring advantage. Those areas were not my choice to practice in, so it didn't do a whole lot for me.
If you want to do public health or anything outpatient, I would get a BSN. The BSN has specific coursework (and at most ground schools
, clinical work) in public health nursing that your degree in psych isn't going to give you. Some states, after a BSN, you are eligible to sit for the PHN (in my state, that is a state certification.)
If you want to move up the career ladder in nursing, I would not get a BA in psych unless you want to move into an MSN, which you could do straight from the ADN with a bridge program if you chose to get your BA instead. I would not count on your BA doing much for you as far as nursing employment specifically though.
Hope this helps.