Most students taking longer than 4 years at UCs either change their major or are taking less than a full load each quarter to accommodate their work schedule or are sandbagging to boost their GPA. A motivated student who doesn’t change majors late in the game can navigate the system and earn a BS in 4 years or less.
That said, if you have the stats to get into UCLA, at least one the CA privates listed above are likely to offer generous incentives - making them cheaper than a UC for in-state applicants. They don’t care what state your mom live in.
Good luck