Well 2 things pop in,run your rinse somewhat lower,use a great prespray,but only apply heavy where need be,agitate well.Preferably brush,white might show fraying .If a machine is utilized,if you also use a machine for pre spray agitation,then prespray will penetrate deeper.Causing possible resoiling and or wicking,etc...
Extra vacuum passes,above and beyond what you normally do.Force dry all very well,air mover,air path type,or even a patton fan.With the fan adjust the arcto shear the boundary layers of moisture.Then also at heaviest areas an or entrance where you end .Face down,last item removed for longest drying effects...
Avoid agents that might resoil as in heavy citrus products improperly rinsed out ...
Also if possible post pad,if need be...