I don't think I've heard a bark out them, more of a blow/snort accompanied by the hoof stomp.
I have a cat that's a Himalayan/Persian mix (think big fluffy cat) there was a large white tail doe that was in the feeder eating and this crazy cat was stalking/sneaking up on the doe. The doe was blowing and stomping at the cat but the cat kept creeping closer. I was sure the cat was about to get stomped to death, she was about 10 feet from the doe, but the determination of the big fluffy fur ball finally freaked the doe out enough that she blew/stomped one more time and took off. I wish I had captured video of it
White tails can be very animated, much more than mule deer IMO. At my place in Michigan I would get 20-40 white tail that would hang out in my yard all winter because we kept the coyotes away, it was fun to watch their antics.