The severity of the symptoms and your body's response to loading/movements would determine your best course of action.
You do not want to make the problem worse and a strength cycle could potentially lead to further injury.
I would try to stay active, but would limit spinal loading for a couple weeks to give the tissue a chance to heal.
Try doing exercises like lunges, step-ups, split squats, belt squats and similar leg exercises. These will give you plenty of growth stimulus without stressing the low back as much as deadlifts or squats.
If you can perform deadlifts with a light weight, you may want to work on improving your technique and groove the motor patterns prior to building back up to the heavier weights.
I deal with low back injuries everyday and I can tell you that the long term consequences will far out weigh any short-term gains you might achieve.
You may want to do some specific lumbar spine stabilizing exercises as well.