I just think just stop watering and let dry if you un pot you kill the feeder roots and you just took 3 steps backwards your rot is not on the caudexs and if the roots are in dry soil they cant keep feeding the rot. when you un-pot and kill the feeder roots and get the rot under control you need to re-pot and it is such a delicate process it is where you are going to have root rot if you are not very very careful. I think you will have a problem at that time. Now if the potting medium is wet i would lift the plant and carefully knock off 50-70% of the wet soil off and put a fan on it and as warm and dry as you can get it but when soil drys i would re-pot carefully with dry soil. DONT water...
just my thoughts I do remove from pots quite often to look but 99% of the problems i see are root rot and it happens when people get new plants that are bare root and no feeder roots it takes a lot of controll and skill to get them to create a feeder root system with out getting root rot .
mike