Hi Jack.
Nice website. I've seen a few Brauns pop up on Ebay over the years, but have never known any history about them.
Anyway, if the LCD display itself has failed, I'd say there is next to nil chance of anyone repairing it. If it's the circuitry driving the display, then if it hasn't suffered too much corrosion damage, someone should be able to repair it.
Do you mean the LCD panel itself has failed (i.e. it's black, or has black bleed marks) ? If it has, the only viable option would be to find a donor panel.
Rgds.