I have matching broken collarbones.

I didn't need surgery for either though. All I had to do is wait for it to heal.

I don't know if this advice is relevant for you (since you had surgery), but I found using a mix of a brace and the sling to be best. The problem with the sling is that you can't really use that arm at all ... not to type ... not to eat ... not anything. Not only is that a PITA, it also allows the arm to atrophy, which is not good news.

I had much better luck with the brace. That allowed me to use my arms, but still keep the shoulder in place.

So why EVER use the sling? Well, the brace is tiring on your upper back. Sooner or later, you'll want to take if off for a while ... and that is when I went to the sling.

Anyway ... YMMV. Good luck to you.

BTW, of all the things that can befall you on a fall from your bike, a broke collarbone is one of the better possibilities. When they heal, they generally are as good as new with no problems. Separated and dislocated shoulders are a lot more iffy.