Bane possesses Olympic-level strength that appears to be equal to or greater than Batman's. During the Knightfall storyline, when he used the "Venom" drug, his strength level was artificially increased to low-superhuman levels (strength level varies somewhat depending on the source). Even without Venom, his physiology appears superior to other normal human characters with strength such as Batman.
That's as strong as Caps. They lose but it's not a stomp.