Liquid,
For starters, welcome to the board!
Second, I hate to be the one to tell you but if your looking for a factory rifle for long range shooting for under $500, you may have quite a challange on your hands satisfying your goals.
You can certainly pick up one of the Savage rifles with a heavier barrel and stock to allow stable shooting at longer ranges and these will run right at your $500 range or just a tick less or more depending on your model selected.
These rifles are generally very good shooting rifles for the money you pay for them.
To get a rifle with a brake, you are basically looking at an aftermarket option on nearly all the factory rifles on the market today, unless you order through one of the factory custom shops and that will double or triple the cost compared to your $500 limit.
You would be far better off getting the rifle and then having a quality smith install an aftermarket brake on the muzzle.
This will vary in price, I charge $165 for installing most brakes, some smiths charge a little more, some a little less but that is a general price for the typical brake installation.
I personally feel that you may be better served with a little more money spent on your rifle. If you could save up around $800 to $900 for this rifle you would be have many more options available to you.
Hopw this helps some!
Kirby Allen(50)