This is harder than I expected...
Looks like Sonic Screwdriver
isn't taken. A bit long though...
You might take a peek through common phrases and cliches for inspiration:
http://clichesite.com/alpha_list.asp?which=lett 1
The words "haiku" and "whovian" don't appear in any names. "Haiku up" isn't very good, but if you can end the phrase "hack you..." with something interesting it could be a memorable name.
Doctor Taboo
Doctor Hew
Doctor Slew
Om nom nom
Om nom bomb
Icy Dead People (I see dead people...)
Whiz Bayou (if you're a particularly southern gal and/or fast)
Chaotic Knievel (there are several Knievels, though)
There are a number of intriguing words that rhyme with "chaotic" if you want to go with a D&D alignment name, including despotic, erotic, exotic, hypnotic, neurotic, patriotic, psychotic, quixotic, robotic, symbiotic. Good, evil, lawful, neutral have surprisingly few rhymes.