If you'd like to try something different maybe just add a print to the mug handle.
I experimented with this a while back...
https://www.dyesubforum.co.uk/vbforu...t=handle+print
You can also use thermo-shrink bags instead of the silicon wraps so you can print the mug and handle all in one go. I believe Simon (Socialgiraffe) has had success with that method.