To me the economical route would be a trigger tune first. If the recoil is unbearable, which I feel it would be for me, a muzzle break would be in order. I don't own any rifles with MB's but if I dread pulling the trigger I'm not concentrating on the target. My 12lb .300WinMag is uncomfortable after 15 rounds.
These first two are designed to let you see what kind of accuracy you can wring from the stock barrel. Not sure if you're defeating the purpose by shooting factory ammo. I have heard that in some instances installing MB's increases accuracy but I'm skeptical.
If after this your returns are promising, then I would bed (pillar&epoxy) and float the barrel. This will in most cases increase accuracy a little but will also provide a more stable platform and let the system "repeat" if you will.
You may never realize the full potential of your rifle with factory fodder, then again you may find something it likes. Could get costly buying different brands, weights, etc. Just save your brass for when you finally decide to cut your losses and start reloading.
Good luck and let us know which route you take. JohnnyK.