Sounds like you need a shared SMTP space and continue to point the mx record at the existing Exch Servers
[http://clintboessen.blogspot.com/2020/07/smtp-namespace-sharing-how-it-differs.html]
To configure SMTP Namespace Sharing, you would change the Accepted Domain to an "Internal Relay Domain" and then create a send connector. An example config would look like this:
Set-AcceptedDomain contoso.com -DomainType InternalRelay
New-SendConnector -Name "SMTP Namespace Sharing for Consoto.com" -Custom -AddressSpaces contoso.com -SmartHosts 10.1.1.54 -SourceTransportServers ExchangeServerFQDN
Once migrated, then you can change the MX record to point to the new infrastructure and set the accepted domain to Authoritative