From $7.99 to $150.00. Shop shop shop. Some look better than others and some work better Han others. They are basically two different items. A comp is usually much heavier than a break. A 357 rifle isn’t much of a recoil producer.
There is definitely stuff out there, but most comps in that caliber are designed for pistols and thus have different threads. There are comps in 5/8x24 for 350 legend...you would have to know more concerning the inner diameter before trying it. You gotta just search. But, my curiosity, why would you put either on a .357 lever gun?
There's the noise recoil reduction trade off. In your case it may not be a good deal with the noise but not much recoil reduction because there's not much recoil there. Did you already shoot it as is? How was the recoil?
The 1/2X24 thread is going to limit your selection. Then finding one for 38/357 is going to make it even tougher. If you find one you like in a smaller caliber, it most likely can be bored out to the size you need. I know the rifle your trying to fit one on. As a last resort you could get a blank and have it tapped out to the thread and bore you want. Shop around and contact the manufacturer of the one you want.
Even with the stoutest .357 loads you could find recoil will be very minimal. The noise level is also much lower than a handgun because of the longer barrel and no forcing cone gap. Not sure what a brake or compensator will do for you. I believe they are threaded more for using a suppressor so you can shoot with minimal or no hearing protection.