@Richard Duane Wolford Jr Thank you for reaching out to us, As I understand you are looking for details related to Azure ADDS/DNS configuration.
Do the domains (public and aadds) have the same name? Our recommendation is not to use a DNS namespace that is already in use, whether by public domain, or on-prem adds... for this example you have mentioned, one option would be:
On-prem: contoso.local
Audience: consoto.com
AADDS: aadds.contoso.com
if its same name, there is no workaround, and the best option will be to recreate the AADDS with another name.
Let me know if you have any further questions, feel free to post back.