I'm going to try the Area 419 Sidewinder. It is self timing but it uses a hardened and nitrided taper adapter. The muzzle threads (and crown probably) will never be susceptible to damage as long as the adapter is installed.
A big reason why I'm trying the Sidewinder is that I want to maximize the barrel length I can fit in a reasonably sized hard case. Being able to easily remove the brake gives me 2" more barrel which is about 30-40 fps advantage.
The brake itself is a 4 port design, a scaled up version of Area 419's Hellfire muzzle brake and mine has 3/4-24 threads so my muzzle device is not going to distort my rifling at all.
Another feature of the system is that I usually shoot rifles one at a time so I got a taper adapter for a second rifle and they can share one brake.
Lastly, Area 419 makes suppressor adapters that fit their taper adapters so I can go from a kind of plain muzzle to a muzzle brake to a suppressor in seconds, without tools.
I have seen its results in a few muzzle brake tests. It is fairly middle of the pack with brakes that are probably ok for a 338 RUM, not bad but not the highest recoil reduction. I'm going to have a heavy gun, not a rifle you pack in 20 miles for a hunt so that should help with recoil too.
I have weird requirements but it should fit them well.