We just finished recording a band doing Wilco/Byrds kinda stuff (don't know how relevant this is for your stuff). Two basses were used for all tracks -- either a Rick 4001 with flatwounds or a Fender Jazz Bass (roundwounds) with Lindy Fralin pickups.

The signal chain was Bass ==> Ampeg B15 w/JBL 140E speaker ==> Heil PR 40 ==>API 3124. Mixdown was a Helio 69 Reissue into a Drawmer 1968ME w/Fat switch in. The Heil PR40 was used after our EV RE20 gave up the ghost, but I was pleasantly surprised how "woody" and solid the bass tracks turned out.

The record is being mixed by Alan Weatherhead from Sound of Music here in Richmond. I might be able to send you some samples in a day or two if you're interested.