SoCal Commute,
There still might be way of driving part way and biking part way if that is what you want (at least at first or sometimes) and still have the car available at work. Instead of driving the first part of the way to work and then biking the rest, switch the order and bike the first part of the way to work and drive the second part, having your car at work during the work day.
The potential problems with my suggestion are 1) you only have your bike available at home during the work week and would have to use it to get everywhere other than work, 2) I don't know if you get to school from work or home and how that would affect things, and 3) if there is bad weather you would be forced to bike to the car to get to work anyway. So you might have to carefully lay out which days to do this.