A friend of mine used to thin the herd on some kind of permit. He used a Rem 700 in 22-250 in a Sendero type configuration, and I think he was using 50 grain Ballistic Tips for rib cage shots. The typical reaction was them tipping over and twitching a bit.
My uncle did some of this with Wildlife and Fisheries when they needed some test samples. He took his 22-250 and stuck to lung shots on deer out in the open. He said the effects were typically about what you mention, and the lungs looked like you'd put a small grenade in there.
