SNFs/LTCs are still definitely among the most viable options for new grad LVNs. But you still need to have flexibility, patience, persistence and a little bit of luck. Don't take for granted whatever opportunities do come up either.
As a new grad I started at a SNF as an on-call, but continued to look for jobs. Another SNF hired me as an on-call also after only 3 months experience because at the very least I could demonstrate I knew the basics, like med pass, taking orders, transfers, and admissions. Another SNF after that 2 months later. 5 months after getting licensed I was working at 3 different SNFs all on an on-call basis. This meant never having a set schedule and having to be ready to work any shift at the drop of a hat. But between the 3, it balanced out to having full-time hours. Sometimes I'd only get 1 or 2 shifts a week, other weeks I'd work up to 9 shifts. Eventually, almost a year later, a full-time position opened up at one of the facilities and I FINALLY "got a job" in the sense of stability. But I still continue to work on-call at the other 2 facilities. I don't like to burn bridges because I've felt so lucky.
At the 2 places that I still continue to work on-call, no other new grad has been hired since I started there (almost 2 years), only experienced nurses. Additionally, there is VERY low turnover at these places to begin with. At my full-time (which became my part-time after I started school again), there has been a major turnover in staff in the last year. A lot of new hires, both experienced and new grads have been hired. However, the attrition rate among the new grads was significant. Even though they were allowed to have as many days as they needed for orientation, not a single new grad hired during that period lasted. They either quit from stress/burnout or got fired due to mistakes resulting from cutting corners. Only one new grad, of at least 8 that I can remember off the top of my head being hired (although I'm sure there were more), survived and still works there. All the experienced nurses hired, however, are still there. I would assume that the climate at the different places I work is similar to other SNFs in California, which is another factor in why it's so difficult for new grads to find jobs.