How to reduce accidentally pressing the right-button on a trackball?

Question

Instead of a computer mouse, I use a trackball for a pointing device. I find that it is much healthier for my wrist, elbow, and shoulder.

The only downside I experience is that I often accidentally click the right-button. This happens because I have fairly large and heavy hands, and the trackball I use is ergonomically designed to keep the wrist at an angle (instead of flat).

What clever techniques will reduce the number of erroneous right-clicks that I perform?

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Edit: Here is a video review of the trackball. At about 1:40, you can see how the reviewer's hand is positioned and how it could accidentally press the right-button with just a little pressure.

https://www.youtube.com/watch?v=TGrNG_6LurI

Also, here are two static images at different angles:

Answer 1

Depending on how often you right-click, I would first attempt to limit the mouse button from being pressed at all by using something like a flat toothpick as a shim to hold that button position open.

On the occasion where a right-click is required, press the equivalent key on the keyboard with your free hand.

To enable the keyboard right-click key for Windows 10,

Step 1: Navigate to Settings app > System > Tablet mode.
Step 2: In When I sign in drop-down box, select Use desktop mode. ...

You can also restart to turn off the tablet mode.
You should now be able to right-click on the desktop.

To right-click on a MAC keyboard, Ctrl (Control)-click has the desired effect.