Getting a Regents scholarship is probably easier at less selective campuses like UCSC, UCR, UCM.
The amounts differ by campus, and should reduce the student loan and work expectation. For example, if the usual net price is $9,000 which is all student loan and work, then a $6,000 scholarship will bring the net price down to $3,000. But a scholarship greater than $9,000 will not be better than a scholarship of exactly $9,000, since net price will not be less than $0.