I worked for about 2 years at a small hospital before I was able to land a job in the ED locally. Most of my classmates were able to land a job locally-ish, but they were more interested in getting a job rather than a specific one like me. I've always been an ED nurse, so the last time I worked on a med/surg floor was back in nursing school
On my first go-round, I put out >300 applications. My last round of applications were <10, and nearly all of them resulted in a phone interview, and about 1/2 ended up with an in-person interview. The process, from application to 1st orientation day, was about 6 weeks. If things had gone completely smoothly, it could have been shorter, though parts of the hiring process are out of the hands of the applicant and the HR department. My advice is to apply to all systems except UC Davis (until your BSN is done) for ED and ICU positions. Kaiser may also require BSN as well, but they may only "prefer" BSN. I haven't looked at their job postings in quite a while, so I'm not current for what they want.
Also, just so you know, "Mercy" and "Dignity" in the Sacramento area are all actually "Dignity Health." Mercy San Juan, Mercy General, Mercy Folsom, Sierra Nevada, Woodland Memorial and Methodist are all Dignity Health facilities in the Sacramento region.