The raw beauty of the Costa Brava, the “wild coast” region that runs about 100 miles along Spain’s northeastern corner, has long lured artists and intellectuals. Today, a host of stylish new guesthouses, shops and restaurants have begun springing up across the region, reenergizing its sleepy coastal towns. If you have just a weekend, consider spending a night each in the towns of Cadaqués and Begur and cruise the coast at your leisure.