To handle the exclusion of a specific category while allowing a promotional exception, the best approach is to create a new shipping method. This method should specifically include an override or exception for products under the brand XyzTv. By creating a new shipping method labeled "Free Standard Ground Shipping" and setting the qualifier as 'brand equals XyzTv', it can be ensured that this shipping method applies only to the products intended for the promotion. This method does not interfere with the existing general exclusions and can be added alongside the current shipping options in the checkout process, allowing for both flexibility and specificity in promotional shipping options. This approach follows best practices by keeping promotions modular and easy to manage or remove once the promotional period is over.