The Humber Bridge footpath has been closed to pedestrians & cyclists, in both directions for the foreseeable future.
The decision to close footpaths comes after a number of deaths at the Humber Bridge in March.
Looking at a recent news article, it seems that cycling on the main carriageway is not an option.
So any rides on the southbank would mean loading the cycle(s) into a car & driving over and parking at the other side.