Hello @Kevin Banks ,
Welcome to Microsoft Q&A Platform. Thank you for reaching out & hope you are doing well.
I'm not sure if I understand the requirement/ask clearly.
Could you please share some additional details about the existing setup and requirement?
When you say, "provide local DNS resolution in our domain", what exactly you are referring to?
Is there an existing connectivity between Azure and your on-premises and you would like to resolve Azure hostnames from on-premises and vice-versa without using physical local server?
Resolving names between resources in a virtual network and on-premises networks requires you to deploy your own DNS server or you can use our new service called Azure DNS Private Resolver that enables you to configure hybrid DNS resolution without deploying VM based DNS servers.
I'm adding a few links which might be helpful:
https://learn.microsoft.com/en-us/azure/dns/private-resolver-hybrid-dns
Kindly let us know if the above helps or you need further assistance on this issue.
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