You can get into the tite spots with 0000 steel wool.I use this with any good aluminum polish.I mean,with the polish in the wool.On some aluminum,I am able to see a good result using only these,but usually it needs the sandpaper 1st.You mite try to follow the paper with 3000,a sponge like contrivance that I am starting to view as I do duct tape and scotchbrite.
Polishing is all about smoothing the surface,so there may be a few ways to do it, but these work well.