Adding a brake changes the way hot gasses exit your barrel, and you don't think it affects barrel harmonics? I don't care if you have a .800 thick barrel, anything applying pressures in the tens of thousands of pounds per square inch is going to cause the barrel to move. So yes your POI can change by 4".
It's amazing how any of us ever functioned before the Magneto Speed or Lab Radar, and still managed to hit anything we were shooting at. Great tools both of them, but recording data is essential in long range shooting, so even a cheap chronograph can supply you with good info. Even if it gives you errors on occasion if your record enough shots over it, you can get a pretty exact speed of your bullets to plug into a ballistics program.
So you have info at 200 and 300 yards to plug into a ballistics program, unless you didn't bother to record the changes. So what was your new drops to get on target at those ranges? Just change the speed in the ballistics program until your drops match what your getting on target. Again you don't have an issue or "BIG" problem, other than the fact you're looking for one.
Actually Hodgdon lists your load at 48,600 CUP, which very well could be close to 60,000 PSI. They are not the same measurement: http://bulletin.accurateshooter.com/...-measurements/
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