I'm thinking use the screwdriver chain technique then when tightening spindle exhert pressure on the rear left side of tyre to hold adjuster nut on frame 
OR here's a thought......reverse the spindle so that the nut is on the right side of the bike.

OR here's a thought......reverse the spindle so that the nut is on the right side of the bike.
Women have chocolate men have bikes.....
including ones who like chocolate....
including ones who like chocolate....
