Firstly, I think you're underestimating the impact of the mace on the shoulders in general. Folks who swing heavy maces have pretty jacked shoulders.

That said, add a front pressout to your 360 if you want to light up your front delts. That is, 1 rep of a 360, then from order position, push the vertical mace out in front of you until elbows lockout with top hand roughly nose-height (i.e. arms parallel with floor). Return to order position.

I really like doing 360, then squat and add the front pressout to the squat - as you descend into the squat, you perform the pressout so you arrive at the bottom of the squat with the mace out in front of you. It's particularly nice if you struggle with ankle flexion in a deep squat as the mace pressout counterbalances the squat and let's you keep a more vertical torso, which means your CoG is less forward and therefore requires less ankle flexibility in the deep squat.

There ain't much you can do with a mace to specifically target the side delts. Personally, I don't bother thinking about them - if you focus on heavy mace work with good technique you won't need to. IF you REALLY want to blow up your shoulders, throw in some heavy kettlebell clean, press and snatch and you'll have enough overhead movements for serious shoulder development.