Interesting design, but she floats....and the rest is all about attitude. You can fish the same water as the rest of the fleet, and if you have skills you can take down giant Yellowtail all winter too.
I will second Billy on this one, as my first thought that came to mind with your photo was the Thresher tank (looks like a perfect fit). You don't need to rig anything with that tank (look for used/new). You have eye-holes to clamp down the tank already, screw in rod holders to the tank, and you're done. Three rod holders: one fly-line, one weighted line, one jig-stick. The Thresher tank has a battery compartment so it's perfect for a starter set-up with little storage like this.
For fishing La Jolla you don't need a tackle box: It's going to be cold real soon, so buy breathable waders ($100 )that have a chest pouch, and a dry top with velcro at wrists and neck(like a NRS under $50). Your chest pouch will carry a couple packs of hooks, and maybe a couple of small weights (that's it). You don't need to bring a bunch of irons, depending on the bite maybe three at most, think corrosion (use #40 Izorline and you will never lose irons except with a poor knot
). Good luck!