Woodwork, or other creative type stuff calls for lite blues/jazzy blues or other cool instrumental stuff. Wrenching means anything from rockabilly to adult alt rock, with classic rock a big favorite. I play (or try to play) guitar, so really good riffs are required, no matter the genre.
Oh ya, blue on black is one of my favorites although I do admit I'm not familiar with a lot of his music.
When I'm in the basement/man cave working I use Pandora thru Directv, I like the assortment it plays and I have it hooked up thru my home theater which is full blown 7.1. Boston Acoustics all the way around with a Miller & Kreisel sub.