Final answer:
The best next step for this patient is to perform a lumbar puncture to check for subarachnoid hemorrhage (SAH).
Step-by-step explanation:
The best next step for this patient is to perform a lumbar puncture to check for subarachnoid hemorrhage (SAH). SAH is most commonly caused by berry aneurysms and presents with sudden severe headache, vomiting, neck stiffness, and back pain. While the non-contrast CT scan of the head may not show any abnormalities in the first 6 hours, a lumbar puncture can help confirm the presence of SAH by measuring high opening pressure, presence of xanthochromia (yellow discoloration of the cerebrospinal fluid due to the breakdown of red blood cells), and high red blood cell count.