I shoot brakes only on my varmint rigs as to see bullet placement like you are describing. The JP brake that iiranger mentioned is my favorite. It looks a little weird, but it is the best in my mind. I don't worry about appearances. I haven't tried on larger calibers, the largest I do use it on is my 26" 6mm AI. It has zero muzzle rise. It also reverses rear movement, actually pulling away. They say this will do the same up to 30-06 sized rounds. I don't find any major blow back, but they still are very loud. I use both plugs and muffs when shooting them. I know one guy using the JP on a Encore 16" handgun factory contour, and he says it has very little if any movement either up or back. The OPS is another baffle style brake, and I hear they are pretty good, but are reported only 80% effective on muzzle rise,,,might do the trick on .204, but the JP is your best bet for the .243. I'll find out, as I'm having a OPS put on a XP 17" 6mm AI, if it don't do enough, I'll replace it with a JP.
Dave