One of the problems with collecting files (say, video) via bittorrent is
that it requires that other people be interested in the same file you want
at the same time that you want it. If you missed last week's episode, and
just got back to civilization, everybody's gonna be sharing this week's
episode, and you'll be lucky to get 29 bits per second from someone who
has 1/5 of the file.
Yes, bittorrent's technology for binary file distribution is way better
than NNTP, but Usenet News has, as has been amply explained, a lot of
reasons it's still good technology.
Yes, you should complain to Time Warner that they took away a service you
used and didn't charge you any less.
Yes, it would probably be smart to find another server, and preferably
make a donation to help keep them running.
Everest, btw, still has news servers, and I believe it costs less for the
same bandwidth.