First, welcome to Flyertalk.
Second, if you are on one ticket with airlines with interline agreements, you should be able to recheck your bags immediately after you collect them.
Third, with that much time, I would get out of the airport. You should be able to get a good nights sleep in a reasonably priced hotel.... plus San Diego is a beautiful place in the evening. Don't waste that time by staying in a hotel.
If you are paying for your club entrance, that is even more reason to use that money on a hotel.