Hi all,
Sorry for the delay in responding.
Thank you Shaun for providing the steps for creating the mapped mesh for this particular part. As you can see building the framework via a sketched feature will help in defining the volume regions which can then be used for defining mapped mesh control options.
You need to keep in mind, as Charles mentioned, keeping the subtended angle of any mapped region <=90deg will avoid the 'self intersecting' error.
I have uploaded the sample model which leverages the methods Shaun referenced.
If you have further questions, please comment or send me an email at mfischer@ptc.com.
Regards,
Mark