This can be accomplished by generating two redacted PDFs from the same original, as follows:
First, check “Allow Redaction Without Exemption” under Preferences and then apply the Redax boxes in the desired locations. This will generate a new, redacted PDF, sans exemption codes, meeting the printing needs.
Second, return to the original PDF, still containing the Redax boxes not yet containing exemption codes. Now apply the desired exemption codes to the existing Redax boxes. After selecting Redact Document, a second redacted PDF is generated, this one meeting the screen needs.
Important Note: To easily distinguish between the two versions, each redacted document can be saved with a different name.