I had and solved this problem.
I have an aluminum frame 3D Printer and routed the LCD cables alone the T-Slot covering them with Aluminum Foil Duct tape from my local Hardware store.
First I found the route that gave me the least amount of interference, Which was at the front of the printer. Then I ran both cables alone the T-Slot.
Placing each cable on a different side of the T-Slot and covering them with a 20mm strip Aluminum Foil Duct tape the length of the run along the T-Slot.
One run being on the bottom side the other hidden on inside of the frame, An have not experienced any LCD corruption sense the fix.
I did not do the following, But you could even spray paint the Aluminum Foil Duct tape on the exposed outside edge before covering the cable to blend it with the color of your printer.
Covering the cables with with blue painters tape first would make for easier removal of Aluminum Foil Duct tape if needed.