Small base dies are seldom if ever needed in factory chambered rifles. It is only in tight chambered match rifles that small base dies are usually needed. Where the problem is is in the shoulder. In a gas gun the shoulder must be bumped back in order to function properly. Most reloaders do not know how to do this properly and unless you have a gauge, it is somewhat difficult to do. A RCBS Precision Mic is the way to go. It will tell you how to set up your die so as to size the brass enough, but not too much. Too little sizing and you have the problems you are having. Too much and case life is much shorter and having a premature case head seperation is increased. The AR is pretty versatile in its powder selection, so I really doubt that is the problem. Your current sizing die may more than likely be just fine, you just need to adjust the amount you bump back the shoulder.
Get the Mic, read the directions, set up your sizing die correctly and your problems should go away.