Re: The new 243 WSSM
I personally wouldn't install a brake. On a heavy recoiling gun, brakes can be nice, but what purpose would a brake serve on a light-recoiling rifle like the 243WSSM? Since you say you'll be coyote hunting with the rifle, you could potentially be doing a lot of shooting close to the ground, i.e. prone, on shooting sticks, bipod, etc. Fire a braked rifle near the ground on a dry day, and you'll choke on the cloud of dust it kicks up, as the brake directs gas in all directions! On top of that, the brake will increase blast intensity, lengthen your rifle slightly, and make the barrel a little more difficult to clean (patches can hang up in the cross-drilled holes, which also trap excess barrel solvent).
If you were using the rifle for long range varmint shooting, the brake can help stabilize the muzzle so you can spot your shots through the scope, but otherwise, the 243WSSM simply doesn't recoil enough to warrant a brake IMO so why spend the extra money?