I personally think that you should let it rest until the disc is completely healed.  Then rebuild as you describe.  You could blow it out completely if you don’t, which would set you back even more than now, perhaps even permanently.  

Spend the time to heal. Don’t waste it. Yes it sucks. I’ve been there too.  Get pain free, then rebuild.  You can always do air movements to keep working the patterns. Also, practice bracing in the meantime and good posture.