I've played with similar situation on one of the rifles I built.
Polishing the bull barrel flutes.
What I did was use abrasive rolls on a die grinder followed by felt bobs and rouge. Afterwards, putting the brushed finish back on the rest of the barrel(mostly at the edges of the flutes).
The problem is doing JUST the flutes. There is no real guaranteed way to keep the work in the flute. So plan on putting the brushed finish back at the edges.
If its a blasted finish, mask up the flutes once polished and blast again.