I've designed a set of 3D printable mounts for putting a 001602D series OLED in the Roland D-110. These mounts compensate for the OLED display being thinner and also offset to the left compared to the original LCD. With these mounts the OLED ends up nicely centered.

STL files and installation pictures are at Roland D-110 001602D OLED Mount by raybellis - Thingiverse

[NB: please note the license - you are free to use these for personal projects, but not to duplicate them commercially].

Suitable OLEDs are the Winstar WEH001602D and the (identical) Raystar REC001602D. I strongly suspect that Vishay's 85x30mm size displays are compatible too, but I've never used one.

Note that the Winstar and Raystar 1602D displays need pins 1 and 2 reversed - for some reason those units have 5V on pin 1 instead of on the conventional HD44780 pin 2.

Hello. How does one obtain one of these OLED displays? I’ve looked online and have had trouble locating the exact model for purchase. Also, do you know of some kind of service online that would print and ship 3D printed objects for folks like me that do not have a 3D printer. Thanks! Also, this is awesome, nice work!!!

The Vishay 016N002D is the same part, and is readily available from places like arrow.com.

For 3D printing there are bureau services such as 3dhubs.com that are relatively inexpensive.