i've not tried the odb3 but a common complaint i've read is that it's too harsh to be an overdrive
there's another thread here
http://soft.com.sg/forum/bass-rookie...mendation.html where alot of ppl are shooting suggestions
you might want to take a look, over there the threadstarter is looking for a modern tone which may be a totally different direction to what you are going for. but some of the pedal suggestions there may be versatile enough to do both.
some pedals you could consider-
homebrew hematoma
ehx bass big muff
mxr el grande
devi ever karaoke party
and maybe the ehx english muff'n
actually there are alot lah, just that i've tried all of these pedals except the BBM. i've tried the little big muff and english muff'n before though.
you can check out youtube or bassfuzz.com for the clips