Inflammatory Bowel Disease (IBD): Conditions like ulcerative colitis or Crohn's disease can cause mild abdominal cramping, blood in stools, and an elevated white blood cell (WBC) count due to chronic inflammation. The absence of abdominal pain, nausea, vomiting, or appetite changes does not rule out IBD, as symptoms can vary widely among patients.

Infectious Colitis: Bacterial, viral, or parasitic infections can lead to colitis, which presents with bloody stools and elevated WBC counts. The mild abdominal cramping and lack of other symptoms could be consistent with a mild or early infection.
Diverticulitis: Although typically associated with more severe pain, mild diverticulitis could present with mild cramping, especially if the inflammation is localized and not severe. Bloody stools and an elevated WBC count are consistent with this diagnosis.
Anal Fissure or Hemorrhoids: While these conditions more commonly cause pain, a large or bleeding hemorrhoid or a deep anal fissure could lead to blood in the stool. An elevated WBC count might be seen if there's an associated infection.

Intussusception: A condition where a part of the intestine slides into an adjacent part, potentially cutting off blood supply. It's more common in children but can occur in adults. Bloody stools and abdominal cramping are key symptoms, and it's critical to diagnose promptly to prevent intestinal ischemia.
Ischemic Colitis: Reduced blood flow to the colon can cause bloody stools, cramping, and an elevated WBC count. This condition requires urgent diagnosis and treatment to prevent tissue death.
Colon Cancer: Although less likely in the absence of weight loss, changes in bowel habits, or significant abdominal pain, colon cancer can cause bloody stools and an elevated WBC count if there's associated inflammation or infection.

Henoch-Schönlein Purpura (HSP): A form of vasculitis that can affect the gastrointestinal tract, causing abdominal pain, bloody stools, and potentially an elevated WBC count. It's more common in children but can occur in adults.
Ehlers-Danlos Syndrome: A group of disorders that affect connective tissues, which can lead to gastrointestinal complications, including bowel perforation or bleeding, though this would be an unusual presentation.
Behçet's Disease: A rare condition that causes blood vessel inflammation throughout the body, including the gastrointestinal tract, potentially leading to bloody stools and abdominal symptoms.