I don't use twitter, but I've heard and seen that there is a way to turn your account private, so only people you follow can tweet you. That seems like a much more proportioned solution to getting spammed by tweets, than outright deleting your account.
This particular issue seems ripe for a technological fix from Twitter. It should be possible to tweak your privacy settings in such a way that you can turn down noise and only focus on the tweets you are interested in. Maybe it's just my naivete as a non-user, but it seems like adding a couple of settings would help you weather such a storm:
- allow tweets only from people you follow
- allow tweets only from people you've already tweeted at
- temp-block all non-followed accounts that tweeted you in the last X hours
I think asking Twitter to fix the much larger problem of "eliminating assholes from the Internet" is counterproductive. Twitter's inherent design is flawed as it is essentially a single loud public forum, but they can at least provide you tools to handle the worst cases of spam.