Hi, Katmac,
I looked on your profile and saw that you're from Atlanta. I think the rule of thumb -- I remember reading this somewhere, but don't recall if it was on this forum -- is that flying home after surgery is preferable to a car ride of more than a few hours' duration.
Keeping in mind that everyone's recovery from surgery is different, I don't think even the super-fast recovery patients on this forum would have been keen to ride in a car from L.A. to Atlanta, and I also think it's safe to say that it's unlikely you would be able to help with the driving. You may or may not be feeling "miserable," to use your word, but at the very least you'll be extremely tired.
I had my surgery at House a little more than three years ago (I'll add that I think you're making a wonderful decision to go there!) and flew home very comfortably (10 days after surgery) from L.A. cross-country to Newark Liberty International Airport (New Jersey).
You might do better to economize elsewhere. Seton Hall is very reasonably priced -- not luxurious, but certainly adequate and reassuringly adjacent to both St. Vincent's (where you'll have your surgery) and House Clinic, so you could remain there for your entire stay (my husband and I did that). Except when we were out and about in Los Angeles and the surrounding area, both before and after my surgery, we ate just about all our meals at the hospital cafeteria -- which I thought was pretty good for institutional food (the post-surgery steroid regimen boosted my appetite, so that may have been a factor); it's reasonably priced, too, so that will save you some money. We found a rental car to be a necessity, but not everyone does, so you can economize that way, too.
Obviously my comments are one person's opinion, but I cannot imagine being in a car for that long a trip so soon after surgery, even with at least a couple of overnight stays along the way. You might want to pose this question to your Nurse Representative at House.
Best wishes with your surgery and recovery!
Catherine (JerseyGirl 2)