Hi Bob,
As badgers do most, if not all, of their damage in the dark any form of light should be a deterrent. I used to badger watch at Johns Lee Wood nr Newtown Linford, Leics. and we coaxed them from their holt with little Yorkshire puddings. They only have one litter a year so feeding them shouldn’t make any difference to numbers. It might just curtail their looking for food elsewhere?
Pete H.