The following is all meant to be taken very generally; as with all generalizations, something is lost, but the following is my ten year experience of S.D.
I think it may depend on what you want to do in San Diego. If you are here for the experience and the sun and fun, you can manage, but a lifelong commitment to here would be hard for the average nurse type family, I think.
There is rental accommodation, especially in the cooler months, but check the contract to see you are not required to leave when the higher paying vacation people head for CA.
I recently went looking at apartments with a single RN colleague; small 2 bed, possibly 2 bath with a tiny balcony, AC, nothing fancy, but facilities included a swimming pool, within a reasonable commute to the major hospitals was about $1100 per month.
Pay varies as in all parts of the country; as usual highest pay is for nights, weekends etc in high demand specialties, e.g. NICU, SICU, CCU etc. After a few years of experience in more general nursing areas e.g. home health, nursing instructor, Medi-Cal nurse provider, med/surg, $25-35 base per hour is feasible, although many facilities pay less. Kaiser is unionized and seems to pay well. That pay range includes career RNs in the 30-55 age range, in supervisor positions in telephone triage, an expert IV team nurse in home health, a Kaiser RN or two, an expert SICU RN, and many pediatric hospital RNs of my acquaintance.
Two years ago, when I taught, new ADN/RN grads were gaining positions from $17-29 per hour (official college stats). The highest end was in long term care; the lowest end of that scale tended to be positions where there was a lot of learning to do in e.g. high tech areas e.g. ICU, NICU, hemo/onc. etc.
I don't have the feeling (sorry, no stats.) that the nursing shortage has hit as hard here; possibly because many military wives are RNs - just a guess, or perhaps because it is nice here and nurses will try to stay here. However, there are travelers here, so there are vacancies.
I have RN friends with years of expert experience not able to afford to buy a home, not even a small condo, although those who started in the housing market ten years or more ago, are in small mortgaged properties. I think I saw a billboard stating that the average home price here is $250,000. My own niece bought here last fall and paid over $300,000 for a small, fixer upper 3 bed, 2 bath in a just OK neighborhood.
My husband had a colleague moved here (with his consent) from the company head office in Illinois. This colleague is a software engineer with a wife in lower paid work; they had grade school age children. They returned to work in Illinois after trying a year to make a go of it here.
(For those not used to condo living, add the price of the general area maintenance fees to the price of the condo you are considering; this additional is rarely stated up front and can be $200 a month or thereabouts. For home buyers add the cost of Mello Roos taxes which are payable in areas of new housing which will need to provide new schools for the children moving in).
I've made it sound rather grim; I suppose it can be done, but my software engineer husband and myself as a full time experienced RN with Master's, with no children, struggled to get a foothold in the housing market ten years ago. (We live in SD proper, about 20 mins from downtown.) We had owned property in Illinois and had considered ourselves to be doing rather well there.
There may well be other pictures of the possibilities further inland or further north - I believe LA pays its nurses rather well - but you asked about SD.
I hope this helps you to evaluate your situation.