Project advice needed: long wires, multiplexing, load cells, HX-711 ADCs

That's a 3.3volt-logic board.
Cheap HX711 boards are 5volt-logic only, so you need to level-shift the data pins.
Or use the more expensive HX711 from Sparkfun, which can be cofigurated for 3.3V logic.
No idea why you chose a high-end processor.
Things with a HX711 happen slowly. The HX711 defaults to 10Hz.
They can be modded to 80Hz at a performance cost, but that is still slow.
Leo..