Ender 3 pro printing with tpu (ideas?)

Hey there!

Printer: Ender 3 Pro
Material: TPU

I recently posted in another section of the forum but I thought this might be a more appropriate place. I was wondering if any of you had ideas on how something like this case could be printed? It does have overhangs and pieces that in PLA would require supports. Not sure it's even possible but I'd like to hear your thoughts! I've been printing it with the face side down currently but I'm still running into issues at the areas where support would normally be required.

Thank you for any feedback!

are the round black bits holes ?
in which case - where does it need support ?