Unless you plan on using this card like 5+ times, Imp and Stargate are a hell of a lot better and don't take up a console slot. But... at only +1 MU, this card limits your ability to play cards like Stargate and Imp. So you're making a huge commitment to discarding a LOT of cards from your hand. Problem: most of the cards that you'd be discarding, are better than this card.
There's no price at which this would be a good card. Carnivore's ability is absolute garbage and Anarchs have better MU options. As long as Keiko exists ($2 for +2 MU plus occasional $1 gains), this console cannot possibly be justified at 2+ credits. Even Maw is better than Carnivore. Maw costs 6 credits and offers +2 MU and an okay trash ability, and it's generally thought to be overpriced. If you wouldn't pay $6 for a 2-MU Maw which reaches into HQ and trashes cards on its own, don't pay $4 for a 1-MU Carnivore which demands an additional discard cost to trash cards you've already paid to see.
Lastly: the card discard. Carnivore is far overpriced in every way. For $4 and 4 cards discarded a corp can use Anoetic Void to end two runs, a huge impact which could win a game. For $4 and 4 cards discarded and a console slot a runner can install Carnivore and trash two accessed cards. You could have gotten the same effect with an Imp for $2 and no cards discarded and no console slot. Brutal.