@davison: Clipboard history issue was fixed in 24.1.1:  Prevent clipboard items from being added to Windows Clipboard history https://screenconnect.product.connectwise.com/communities/26/topics/4551-screenconnect-241
You can also permanently disable clipboard sharing from host to client if desired, not just default to off.
That said, keyboard shortcut is still needed, I would use it many times a day.

SW MSP Anywhere uses CTRL+SHIFT+X for this, seems like a pretty good choice. Of course ideally all KB shortcuts would be configurable.

You may already know this but you easily take a screenshot by clicking the camera icon in the ScreenConnect window, then choose To Clipboard or To File.