Final answer:
The next best step is a Magnetic resonance imaging of the lumbosacral spine, as it helps diagnose potential serious conditions that might be causing the patient's back pain, such as spine infection or malignancy.
Step-by-step explanation:
The next best step in management for a 46-year-old man with a history of diabetes mellitus and chronic alcoholism, presenting with progressively worsening lower back pain, fever, and tenderness over the midline lower lumbar spine is b) Magnetic resonance imaging of the lumbosacral spine.
Given the clinical presentation and the lack of trauma history, this could suggest the possibility of a spine infection, like osteomyelitis or discitis, or other serious issues such as malignancy or vertebral fracture which are better visualized on MRI. While a complete blood count might provide supportive information, it is not as immediately helpful in the diagnosis and management of his back pain as an MRI; plain radiographs may not capture the early changes of infection or other details as effectively as MRI, and pain control alone without diagnosis could mask symptoms of a potentially serious condition.