Ctrl and Shift are modifiers. These keys aren't transmitted to applications running in a terminal. Rather, when you press something like Ctrl+Shift+A, this sends a character or a character sequence at the time you press the A key. See How do keyboard input and text output work?How do keyboard input and text output work? for more details.
There may be some terminal emulators that can be configured to send a key sequence when you press Ctrl+Shift, but even that isn't a given and might depend on which order you press the two keys in, and you'd lose the ability to make Ctrl+Shift+key shortcuts.
 If your terminal emulator permits it, you could configure it to send C-b a when you press Ctrl+Shift+A and so on. That would allow you to use single-keychord bindings for some commands.
 If you want to free the keychord Ctrl+B so that it's sent to the underlying application, pick a different prefix such as C-\ or C-] or C-^.
 
                