No sure if this will help at all, seems support thinks it cant be done 🙁
is the connection string kept in a config file anywhere that could manually be changed?
I have a service written in .net used for something that I thought had to have SQL authentication until I worked out the correct connection string - which is as below :
data source=.\SQLINSTANCE;initial catalog=myDATABASE;Integrated Security=SSPI;
having Integrated Security=SSPI; in it negates the need for User ID=xxx;Password=xxx that would otherwise be there and uses windows authentication rather than SQL.