Regardless of the barrel length, the powder used in a gas operated firearm must be pretty close to a standard rifle load to operate the gas system without over gassing/too much pressure, or under gassing/not enough pressure.
Whatever powder gives the highest velocity in a long barrel will also give the highest velocity in a short barrel.
Just pick a powder you want out of any .223 rifle reloading data and it will be pretty much the right burn rate.
The IMR-4198 is about as fast a powder as you can use in a standard gas system, regardless of barrel length.
rc