Meralgia Paresthetica: This condition is characterized by numbness, tingling, and burning pain in the outer part of the thigh due to compression of the lateral femoral cutaneous nerve. The band-like distribution of pain and tenderness to touch without inflammation or induration are consistent with this diagnosis.

Muscle Strain: A strain in the muscles of the thigh, such as the quadriceps or hamstring, could cause band-like pain and tenderness, especially if the strain is localized to a specific area.
Tendinitis: Inflammation of the tendons around the thigh, such as the quadriceps or hamstring tendons, could cause pain and tenderness in a band-like distribution.
Peripheral Neuropathy: Damage to the peripheral nerves in the thigh could cause pain, numbness, and tingling in a band-like distribution.

Deep Vein Thrombosis (DVT): Although DVT typically presents with swelling, warmth, and discoloration of the affected limb, it can occasionally present with pain only. Missing a DVT could be life-threatening due to the risk of pulmonary embolism.
Osteosarcoma or Other Bone Tumors: Bone tumors can cause localized pain and tenderness, and although rare, they are potentially life-threatening if not diagnosed and treated promptly.

Erythromelalgia: A rare disorder characterized by burning pain, heat, and redness in the hands and feet, but can occasionally affect the thighs.
Complex Regional Pain Syndrome (CRPS): A chronic pain condition characterized by severe, burning pain and sensitivity, usually in the arms or legs, after an injury or trauma.
Neurolymphomatosis: Infiltration of the peripheral nerves by lymphoma cells, which can cause pain, numbness, and tingling in a band-like distribution.