An ancient thread, but I'm posting in it to try and get as much info in one place as I can find.
There is a video on Youtube of Bastard Noise called "Rubber Gloves" which I guess is the venue name as they are playing a section of Me and Hitler. This is the pre-Amie Artz lineup of the band.
Eric is playing a blue Precision Bass deluxe with a stacked J humbucker pickup at the bridge. However I think this bass is modified as it has a mirror pickguard and only three knobs rather than the typical four. I guess it might be a passive bass therefore.
It looks like he is playing through a Sunn Beta amp of some sort as well as a Marshall-type head with a silver faceplate. Not sure of the brand of that amp. There is also a combo amp behind the drummer.
What is worth noting is that from the start those Powerviolence bands were using DIY gear made by Henry Barnes, who made his own tube amps and oscillators and other experimental gear. The video of BN playing at 'Scion Fest' shows Eric Wood (really undermixed in the video) playing through an SVT. Maybe it was modded by Barnes? Other videos show a high pitched feedback between tunes at a live show, which suggests Wood either runs a high gain rig (as evident by his tone) or is using some sort of pedal.
His tone on A Culture of Monsters is the work of multiple overdubs. For example he uses a thinner distorted tone (like a Boss DS-1 tone) for faster runs but also has the bassier tone for power chord work. I guess you could approximate his tone with a P bass with Dimarzio Model P pickups, fresh roundwounds and a bi-amp setup with a distorted guitar amp and a LPF-ed bass amp and an A/B switcher to turn off the bass amp. Then all you need is a slightly whiney and childish stance (trash-talk bands that steal the logo you yourself stole from a textbook), a 5-year period of heavy addiction in which you don't touch a bass guitar and a slightly pretentious taste in listening to Eric Dolphy and Coltraine LPs whilst discussing the virtues of iconoclastic punk sub-genres... I am the sort of person Eric Wood probably doesn't want listening to his records, and I doubt he would be impressed with people ripping off his bass tone and technique.
Electra/Westone Club #19, Guild Club #27 (snuck in with a Dearmond).