Are your parents able and willing to pay the yearly costs of the out-of-state schools?
Approximate yearly costs:
$45,000 Oregon State
$38,000 Penn State Hazleton
$48,000 Penn State University Park
If not, then you will probably be shut out if you only applied to UCB besides Oregon State and Penn State. In this case, the best option is to go to a California community college and then aim to transfer to a school with your major. Each of your first two years at a California community college will be about $2,000 to $3,000 in tuition and books, plus whatever your living expenses (if you live at home, that would be food, utilities, and transportation costs of a several thousand dollars per year, which would total to be much less than the out-of-state schools). It does not make sense to spend a lot more money to attend the Pennsylvania equivalent of a community college.
If some level of out-of-state costs are affordable, but Oregon State is too expensive, you may want to see if the following lower cost schools with nuclear engineering are still accepting applications: Idaho State, South Carolina State, New Mexico, North Carolina State, Missouri S&T.