Hard for me to say because I did not work in psych as a nurse and worked in LTC as a CNA, not LPN. What I am wondering, since you have only been in the nursing home for a few days is if you have gained enough bedside experience to boot. While it is true that nursing homes are slower, I also feel personally, that at least you are gaining skills in medication administration, possibly vent care, dressings, etc...so, IF you were hired in a hospital, the main skills would basically be there, it would be a matter of working at a faster pace, orders change more often and IV care.
You may be hired in the hospital's psych area, but will that mean that you have options to transfer to a med-surg unit later? Depending on where you live, the hospitals within your geographical area may not wish to hire LPNs in their setting. And, in psych, (from what I see, anyhow), LPNs are primarily medication nurses and little else.
I am not well versed in what opinion a manager interviewing you would have in each of these areas; I don't know the exact answer to your question, but these are the things I think of regarding work. I am more comfortable in getting the skills or expectations downpact first before I speed up the process.