The road to Quinta do Pinheiro winds through orchards and open pastures along Portugal ’s southern coast, narrowing to little more than a dusty track. Between rows of pomegranate and fig trees, the Atlantic shimmering beyond, an immaculate whitewashed farmhouse comes into view. Across the Algarve, scenes like this are becoming a familiar prelude to a new kind of hotel.

São Lourenço do Barrocal is an elegantly restored 19th-century farmstead in the Alentejo countryside.

Jorge Vieira

A landscape of olive groves, vineyards, and vegetable gardens supplies the food at São Lourenço do Barrocal.

Ash James

Portugal’s tourism boom over the past decade has brought a wave of glossy resorts and chain hotels to the country, particularly along the Algarve coast. Long a seaside escape for locals and Northern Europeans, the Algarve has become increasingly popular with Americans.…