A 19-year-old woman is seen for counseling regarding contraceptives. Medical history is unremarkable; she is nulliparous and has never taken prescription contraceptives. Her father had a pulmonary embolism at age 47 years, which was associated with arthroscopic knee surgery, and her 23-year-old sister experienced a deep venous thrombosis 3 weeks after delivering her first child. The patient does not smoke and takes no medications.

On physical examination, she appears well. Vital signs are normal; BMI is 31. The remainder of the examination is unremarkable.

She states that she does not want to use a copper intrauterine device (IUD).

Which of the following contraceptive methods would be most appropriate for this patient?