Do you know which disc, L5/6 or whatever? I have had a slipped disc (as mentioned before, turning off a car radio). I did the physio thing and could get a nice 'clonk' as it moved. Stuck with the exercises and it settled. Many years later something happened while strimming in the garden which sort of blew a sciatic nerve. MRI showed the scarring (I didn't go to the Doc when it first happened, just the physio).
Now I do 'clinical Pilates' - the instructor is a qualified physio - in order to address the issues and get my spine straighter and take some load off the dodgy bit. Pleased with the effect and I do a subset of exercises at home too. I'm getting taller!
I'd avoid any spinal surgery unless it was an absolute last resort to keep me out of a wheelchair or relieve incessant agony that stopped me functioning. I know a few people that are in a worse state after surgeons have buggered about with their spines than they were before.
A jab will, hopefully, reduce the inflammation but the problem is a mechanical one really. The joint is under asymmetric pressure bulging out the disc in one direction. Find a good physio* that specialises in such things and do the exercises and take any advice they give.
Swimming's good (not breaststroke) - if you do front crawl properly. Not so good if you do it 'wrong'. I followed a 'Swim Smooth' method but they disappeared and came back as a subscription based operation focused v much on triathlon.
* If you can get hold of the scan images take them along too.