I had the same injury about 18 months ago (skiing). Put up with it for a year, but then decided to get something done. Got my GP to refer me to a surgeon in wrightington (on NHS) who performed a “lars ligament repair”.
That was 5 months ago, shoulder is much stronger now, and still improving. For instance, before the op I was limited to doing 3 press ups due to pain. Still not back to where I would like to be, but can now do 8 before pain stops me carrying on.
Lots of information here/and generally on this site LINK
Hope this helps. Any questions feel free to email me: martyn(at)mrh86(dot)co(dot)uk