If you are an inexperienced shooter the revolver, in my opinion, may be the way to go. I would consider the .357 magnum and am personally fond of the ruger DA revolvers (GP100 and SP101). The SP101 will conceal well.
A used Ruger Blackhawk SA revolver would probably be in your price range as well. My father carried one for years and was deadly with it. It does not conceal well.
The .357 will deliver more energy on target. With 180 grain loads from Buffalo Bore (for example), it may even persuade a bear or other large predator to stop eating you (if not, repeat as necessary). Two legged predators can be persuaded more effectively as well.
I believe most of the .357 revolvers will also chamber the .38 special cartridges for practice or reduced recoil if you feel that is relevant. Ammunition is precious these days, having a choice of two common calibers is a good thing.
At the end of the day, mindset and skill with the weapon and not the weapon itself will win the fight. Save your money and get training. Gunsite is my prefered venue but there are many others that provide excellent training. There are also many to be very wary of, ask around before you sign up.
Unsolicited advice: Wear the pistol. Left in a car or a dresser drawer it will probably make an interesting prize for whoever kills you. If I have to go and fetch a weapon, it will probably be a 12 gauge.
Remember:
All guns are loaded. It is not safe to assume otherwise, handle them accordingly.
Never let the muzzle cover anything you are not willing to destroy.
Keep your finger off the trigger until your sights are on the target.
Positively identify your target (and what's behind it).