Búzios is known for its pousadas, similar to North American B&Bs. These small, often owner-operated hotels provide excellent personalized service. By avoiding high season (Dec-Mar and July) and weekends throughout the year, you should be able to get a discount, although you will still expect to pay more at a pousada in Búzios than you would anywhere else in Brazil.
Note: This information was accurate when it was published, but can change without notice. Please be sure to confirm all rates and details directly with the companies in question before planning your trip.