It would be very nice to play without computers, but it is only possible for tournaments played between friends. Now it is a new era and we can't disallow computers. I know - It is ANOTHER discipline, but it can be also beautiful.
Please read: http://blog.chess.com/piotr/correspondence-chess---ivar-bern
I just read this article:
Postal games in the Computer Age
"Alik Zilberberg of San Diego, one of only seven correspondence grandmasters in the country, scored an undefeated 8-6 in the 20th World Correspondence Chess Championship. Final results in the tournament, which began in 2004, are not known yet. Two players have scored 8 1/2 points, and a few games are not finished....
Another change, less welcome for some players, makes it legal to use computers to analyze positions. At the championship level, humans can see further than computers, and victory does not depend on software. The game below shows a precisely calculated attack that is beyond the power of any computer. Black's early resignation may be attributed to the computer age; once the human achieves a winning position, his computer assistant will help him steer clear of pitfalls."
I hope the allowance of computer analysis in a top-level tourney doesn't become a trend! CC chess is probably the last hold out for classical chess (i.e., human chess with long time controls) . I don't want to see computer analysis corrupting CC chess too! I think it was a big mistake to allow the use of computers.
Also, is it true that people can see further than computers? I've never heard that before. If that is the case, why are computers always winning?