I don't know if it would be possible but it would make the KO cup more interesting. How about running it the same way as the FA cup where ALL leagues compete. It could be that round one is a random drawing for the conference league teams, then winners move to round two when the premier league teams are brought in and then finally the elite league teams join in the third round.
This would be done on a simple draw with only one leg per round. It gives a cnahce of conference teams to work their way through if lucky enough. Also gives lower league riders the chance to go up against top riders and show what they can do.
As I said not sure if it would work but it has possibilities