no south or central cichlid is a good tank mate for a snakehead , and that goes double for a sub-tropical species such as auranti.
auranti will look poor in full tropical temps and will act sluggish , its pointless useing any sub-tropical sepcies.
if you are determined to try this then try and stick to tropical species. and as one of the species you want to try is birchirs then a tropical african species would make a much better choice . the only african species that people get away with mixing sometimes is obscura ,so that is the species that would be best.
but as every one else has said ,best for the channa is a species only tank .
once you sort the temps thing out , your still left with the fact that you hardly ever see adult channa for sale , so that means having a juvie and any central or south american cichlid will bully a juvie snakehead to the point of stress , you will most likly find that the snakeheads goes off its food and loses all colour within weeks.
obviously there are always exeptions to the rule and you may get away with it , but it would be a risk , a risk only you can decide if you are willing to take.
tank size will also play a huge part in the decision also , any channa will need a place to call its own , aplace to hang out in , just as any cichlid will big cichlids with big snakehead will req a hude tank and huge filteration also.
cheers col