Okay
Some basics because you are facing special challenges that many of us, thank god, are free from.
you will most likely have to buy your revolver from those on the approved list or from existing stock at a local dealer. Your first step should be to get a listing of the 357 revolvers that are approved in California. Throw everything away except those made by S&W, Ruger, Taurus, Colt and Dan Wesson (I don't think they've been approved out there yet). This will be your choices for Double Action Revolvers. In the first three, you will have a broad selection of sizes, the Colt and Dan Wesson if approved will only have one size.
A five to six inch barrel length will be best for target shooting. you will probably want one that has at least a rear adjustable sight although this is not quite as critical on revolvers because of the longer sight radius. A heavier model will usually have less percieved recoil than a lighter one.
If you are considering the Used market some particularly fine revolvers that can usually be had for a very reasonable price are:
S&W M-28 or 27 (Large framed revolvers. the M-28 is known as the Highway Patroman)
S&W M-19 (Mid-sized frame known as the Combat Masterpiece)
In this picture the M-28 is on top and the M-19 below. Notice that the frame and cylinder on the top one is slightly Chunkier than the bottom.
In a used Ruger, I'd suggest that you look at the Security Six. It was extremely well built and very reliable. Unfortunately my Ex has mine so no pic.
In the Colt line you might want to look for a Trooper or Diamondback. Generally the Colts will carry a premium price.
Any of these would be a very good choice for you. The S&W or Ruger will most likely be in the Under $400.00 in your area while the Colts will most likely be in the $500+ range.
HTH.