Several clubs nearby, Sutton, Malden, Leatherhead. You can even 3D print a temporary one.
No need to rush out to get a solution as a load of lathe operations don’t use the leadscrew except to lock the slide position.
Here is a very simple emergency method to enable light screwcutting. Cut a short sleeve that fits the leadscrew (use the top slide to provide feed for this) with say 5mm wall thickness. Drill and axial 4mm hole, fit a brass rod with the inner end filed to fit the leadscrew. This is enough to push the carriage along, improve with a second hole at 180 degrees and advanced 1/16in.