I needed a way to get read access to a local XML file in the Azure Web App that is not a .config file. Using the standard naming format for the root folder I can read the XML data file into a DataSet.

DataSet dataSet = new DataSet();
var wscXML = string.Concat(Environment.GetEnvironmentVariable("HOME", EnvironmentVariableTarget.Process), @"\site\wwwroot\wsc.xml");
dataSet.ReadXml(wscXML);