C41/E6 can be effectively bleached with a ferricyanide-bromide bleach, but their longevity might suffer. PE has stated this several times. Both films can be bleached with a Ferric Ammonium EDTA based bleach, although nowadays C41 bleaches are based on PDTA, or NTA. You'd be lucky if you can find a local source of Ferric Ammonium EDTA, usually provided in solution. This is the single most expensive and hard to source bleach ingredient. If you can't find a source, then you'd have to make your own, but this still assumes that you can source some other chemicals easily and/or cheaply.
First of all, you'll need EDTA-2Na, or 4Na. You can get the free acid from it if you follow the method described
here by Rudeofus. Note that you'll also need sulfuric acid, or sodium bisulfate. Assuming you have some EDTA free acid, then you'll need to mix it with a source of Ammonium and Ferric ions. Ammonium Bicarbonate, or Ammonia are the obvious choices. For the Ferric part you'd have to use something like Ferric Chloride, or Ferric Nitrate. You can also precipitate Ferric Hydroxide from Ferric Chloride and use this instead, but this is messy and requires some borosilicate glass beakers and boil the reagents. It's quite a messy process to be honest.
If you get your Ferric Ammonium EDTA solution, then you need to add Ammonium Bromide and correct the pH. This basically gives you a bleach that can be used for both, although bleaching times may suffer if you don't use a bleach accelerator. Anyway, a C41 bleach formula can be found
here and an E6 one
here.
The film must be washed between the bleach and fixer baths. Water rinses with agitation are fine.