Over 42 hours after contacting them, I got a response. In a nutshell, I was offered exactly what I could have gotten 42 hours ago had a simply asked for a refund on the damaged TV and reordered it - with the sole exception that now I'll get it two days later than had I done that.
I sent them a response. That seemed lame to me, and I'm not that demanding when it comes to this stuff. However, to have to take two additional days off from work, wait 42 hours for a response, and get nothing was upsetting.