The CC then xfer to ucla path is a longshot; according to the page https://www.admission.ucla.edu/prospect/adm_tr/Tr_Prof16.htm the admit rate for nursing transfers is 5%. So I would not call this the better path.
An increasingly popular path is to get an Associates Degree in Nursing (ADN) and then as an RN complete a RN to BSN program. It sounds like you’re exploring that with Stanbridge, but why pick them? There are dozens of CC that offer the same thing for much less. See http://www.rn.ca.gov/education/rnprograms.shtml#adn Perhaps your family is wealthy and the cost doesn’t matter, but I don’t see a reason for them to sign up for big loans when there are such cheaper programs available at public CCs. It sounds like you are in the Long Beach area, why not the ADN program at LBCC?
The Stanbridge program sounds new; looking on their disclosure page at https://www4.stanbridge.edu/s9/area/disclosures/adn/Gedt.html they don’t report a job placement rate saying “Program does not have enough completers to calculate a placement rate as required.” Tha’ts a risk for you.
Another thing you need to look into is whether your units will even transfer from Stanbridge. This school is acredited by Accrediting Commission of Career Schools and Colleges (ACCSC). This is a national body primarily used by for-profit colleges. Most non-profit colleges have regional acreditation. National sounds better than regional, right? Actually not. As the CSU page on transfer credit says
Before you sign up for a $70K private college program you need to call CSU and see if they will recognize the units.
If I was in your shoes I’d go to one of the public CC in the link above, but if you do the work to make sure the private is ok and you can afford it then go for it.
BTW you may get more relevant responses if you post in the “Nursing Major” sub-forum