To print the outer part use TPU 92-95A I would use specific settings, including: increasing the wipe by a lot (12mm), constant speed for everything at 20-30mm/s, and as fast travel speed as the printer can. 
I would also use a 10% cubic infill depending on how firm you want your roller to be, 2 perimeter walls, and 3 top and bottom shell layers. And I would suggest putting Ensure Vertical Thickness to Critical Only.
I would recommend a bigger nozzle (0.6-0.8), as there was still a little dropping on some of the overhang with the 0.4 nozzle, but not enough to affect the print.

For the inner part I would use PLA or PETG, using 3/4 perimeter walls, and 25% 3D honeycomb infill.

And of course especially made for NO SUPPORTS needed

Best of luck with the print!