My answer to your inquiries is gonna be short : Bad Religion. This is my favorite band ever, and one of my narrow aspie interests. Their music has all the qualities you seem to look for : raw edge with decent quality, multi-layered music (often 3 guitars and many vocals tracks), below mainstream popularity, most brilliant lyrics you can find (many of them being social commentaries or personnal introspections), nicest male lead vocals I've ever heard (clean and raw).
The lead singer Greg Graffin holds a PhD in evolutionnary biology and features a lot of aspie traits (narrow intellectual interests, strong honesty, odd gestures, etc). I have his signed PhD thesis here at home, which is titled "Evolution, Monism, Atheism, and the Naturalist World-View" and is just plain brillant.
I also know Bad Religion was a strong influence for the band Sublime (which you mentionned), and Sublime did a cover of the song We're Only Gonna Die, which was written by Bad Religion.
If you ever get into Bad Religion, you won't get bored soon as they have recorded 14 studio albums yet, and have over 250 songs written (the band was formed in 1980 and never lost its edge).
Albums I would recommend as starters :
Agaisnt the Grain
The Generator
Stranger than Fiction
No Control
Check this out :
http://www.youtube.com/watch?v=pE6dF3DLZUshttp://www.youtube.com/watch?v=6OHMHVKpl9whttp://www.youtube.com/watch?v=gmiylwNjKj8
Bad Religion's pretty good. By the way though, when I say multilayer I am I guess partially meaning the instruments but especially ambience and mood, ideas and emotions that ricochette off of eachother in real strange ways and to where its really immersive and strong but seriously head-f's you at the same time. I should refresh on Bad Religion though, saw them back in 99 at Warp Tour and they had a pretty good mosh pit going.