I think what the OP meant by "Putting current employer down" was "Should I list my current employer as experience" rather than putting down as in badmouthing them.
As far as putting your current employer on an application, as long as you are leaving on good terms, why not use them? In most states, all they can say is how long you worked there and whether or not you're eligible for re-hire. Experience is experience, and there is nothing wrong with framing up the intuition thing as "I just think I could find a better fit elsewhere" or putting a similar positive spin on things.
You also might try telling the interviewer that you have researched correctional nursing (which you have by posting here, hee hee) and based on the info you have gathered, you really feel that it would be a good fit; find a way of showing the interviewer your knowledge of the field. Employers love it when prospects make it clear they have done their homework.
Good luck!