Final answer:
The most appropriate therapy for the described lesion on the farmer's shoulder, considering his significant sun exposure and the lesion's characteristics, is to perform a shave biopsy to confirm the diagnosis before proceeding with further treatment.
Step-by-step explanation:
The presentation of the lesion with its long-standing nature, smooth appearance, and dilated blood vessels, along with the history of significant sun exposure, raises suspicion for a type of skin cancer, possibly basal cell carcinoma which is common in sun-exposed areas. Given the size and characteristics of the lesion, the most appropriate next step in treatment is a shave biopsy. This procedure will confirm the diagnosis and help guide subsequent treatment, which may include local excision if the biopsy results confirm a malignant lesion. Therapy options such as Podophyllin resin, topical tacrolimus, and excision with lymph node biopsy and radiation are not the first-line treatments without a confirmed diagnosis and more information on the lesion. Therefore, shave biopsy is the most appropriate next step.