My bishops cast "River of Salmon", which causes the bears to do nothing but eat and sleep for the rest of the game, while my knights cry out "Ni!" and distract the black queen with a shrubbery. The rest of the game is plain sailing.
You can do the woods response, whereas both queens will choose the bears to go into the woods with them rather than any male pieces. This leaves black without any frontline but also sacrifices both queens.
You're not supposed to play around it, it's meant to make you lose. But don't worry, The Angler will only play the bear wall on your first run through or two to prevent the player from progressing too quickly. Once you find the Stinkbug and the Knife, he shouldn't summon them anymore and you can progress past him. Make sure you're taking time to look around the room for puzzles/secrets.
Feed them one of your horses. But put 2kg of C4 in the horse's butt first. Bears can't resist spicy palomino. Them yeet them off the board with the C4.