I had a bad back for a couple of years and tried all sorts of shortcuts and excuses. Once I faced up to it and did plenty of core work and stretching the problems went away. In my experience you will come back quicker if you get back on the bike as soon as you can, just spin a nice high gear, keep it warm, and stretch it out afterwards.
If you do a couple of sessions of squats and lunges concentrating on your posture (or getting someone to give you pointers) you will learn to put the power down through your legs without straining your back as much. If you enjoy this, cleans and snatches will develop the muscles needed to pull with the arms whilst driving with the legs.