My first year as an undergrad, I took a science course online through my local CC. I paid out of pocket for that class and made sure it would transfer. (It had worked out with my other AP & dual-enrollment credit that I only needed 1 science credit and I didn’t want to pay for a 3-4 credit class which I only needed a credit.)
You can’t get aid at both schools and BOG is aid. California’s CC tuition is dirt cheap. Just save yourself from this biting you and pay OOP.