Keyboard shortcut CAPSLOCK-SHIFT-TAB not working in Chrome on external keyboard after CAPSLOCK modified to CONTROL

If the Shift key works in normal context, and if the same combo doesn't work in say Safari, then I'd think the keyboard hardware has an issue, or the keyboard combination is mapped to another function in Keyboard Shortcuts.

I mapped the combo to Show Launchpad and experienced the exact same issue. Shift works, Ctrl + tab works, but because I mapped the combo elsewhere it was no longer available to apps to use, and Ctrl + Shift + tab failed in Chrome and Safari.

If that is not the case, then its remotely possible that the keyboard is faulty, but since I would expect other combinations to fail if it were faulty, you haven't mentioned any and I assume that none are.

Got this all from more recent Brett Terpstra posts, so full credit to him.

Using Karabiner Elements and BetterTouchTool, you can create a "Hyper" key mapped to control-option-shift-command (which probably won't be used by any apps as a default modifier). Then you can use BetterTouchTool to maps Cap Locks + "a" to type "=". Typing "a" by itself still gets the letter "a". You can also set it up that tapping Cap Locks alone functions as the escape key or even as standard Caps Lock.

Rather than reposting Brett's code here, I'll link to the post: A Hyper Key with Karabiner Elements, full instructions.

Some screenshots to help guide you along:

After adding Brett's code to karabiner.json, the Complex Modifications pane will look like so. No need to do anything else here.

In BetterTouchTool, switch to the Keyboard pane, add a shortcut, type Caps Lock + character, then choose "Insert/Type/Paste Custom Text" as the Trigger Predefined Action.

In the Insert/Type/Paste Custom Text sheet, type the character(s) you want and choose "Insert Text by Typing".