Which zoning method allows a property owner to avoid strict adherence to the zoning ordinance?

The correct option is variances. A variance is a regulatory mechanism that allows property owners to petition for relief from the strict requirements of zoning ordinances due to unique circumstances related to their property. Essentially, it provides a way to adapt the zoning codes when a property's specific conditions or characteristics would make strict compliance unreasonable or impractical.

For instance, a property might have unusual lot dimensions or topography that make it difficult to meet the standard setbacks or height restrictions outlined in the zoning ordinance. By obtaining a variance, the property owner can avoid the rigid application of these rules, often after demonstrating that their request will not significantly harm the surrounding community or violate the overall intent of the zoning regulations.

The other methods mentioned serve different purposes: a conditional use permit allows certain uses that might not be allowed outright in a zoning district, but they are subject to specific conditions; special assessments typically relate to financing public infrastructure improvements and are not directly related to zoning relief; and mapping approvals concern the official process of determining land use designations, which doesn’t grant zoning exceptions or modifications. Thus, variances serve as the most direct method of avoiding strict adherence to zoning ordinances.