Some slipped discs will heal in time. Some require surgery.
The orthopods I work with are more than happy to tell patients they can cure their back pain through carpentry, sorry, surgery... This is true but what they don't mention is it takes months of rehab to regain full function, let alone running fitness. This can break runners psychologically.
I see both sides of back pain - the non-surgical interventions and post-surgery physio, so feel able to offer my opinion here. Good luck with whatever you decide