A 61-year-old man is evaluated in the emergency department for diffuse, mild, left calf pain without swelling of 10 days' duration, which has worsened in the past 2 days. The patient reports no provoking injury or incident. He feels well otherwise. Medical and family histories are unremarkable. He takes no medications.

On physical examination, temperature is 37.2 °C (99.0 °F), blood pressure is 132/82 mm Hg, pulse rate is 75/min, and respiration rate is 16/min. BMI is 32. He is in no acute distress, but he scores his leg pain as 3/10 in intensity. Mild to moderately deep palpation of the calf muscles provokes diffuse discomfort. The left leg is not discolored, and no edema is present, but it feels slightly fuller than the right and is 1 cm in circumference larger than the right at the midcalf level.

Which of the following is the most appropriate management?