Do not take anti inflmamatories unless the pain is absolutely unbearable but there are other pain killers you can use
For ligaments to heal, in this case the acromio clavicular ligament, inflammation is an absolute must for healing. You need to brace the clavicle into a position or the scapula into a position where it can heal properly. Basically you want the body to rebridge between the clavicle and the acromion. It's a very short window for this to happen because your body is trying to find a way for it to bridge, but if it cant find the two parts of the bridge it's going to take out any chance, because long term inflammation isnt good for the body.
See a sports doc, NOW. Leukotape, K tape is your friend for this as well as a sling to restrict movement.