Answer is eTap
If I can buy etap shifters for 45 quid too then happy days
It’s the dérailleurs rather than the shifters you have to worry about...
But 6770 shifters seem like a decent deal if you can get it to work with 11 speed. Cables, power adapter, junction boxes and batteries are annoyingly expensive though.
@PhilDAS started
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Answer is eTap