Most active/passive basses don't do both well. Typically the switch to passive disables all EQ controls. In other words it's more of an emergency battery fail feature than a true active-passive bass. For a true active-passive bass consider a G&L L-2500. EQ works both in active and passive (but is cut only) and you can either find a used USA version in the price range or the Tribute models new in the same range. The knobs, switches and strange setup can be intimidating at first, but allow the bass to be just about the most versatile around once you finally "get" how they all work.
Check out some of the G&L L2500 discussions here to get more of a feel what people see in those basses. They have a taste of old school and yet do some modern too. My L2500 USA fretless is by FAR my favorite bass and I have some really nice high end "niche" basses.
Solid recommendation. L2000/L2500s are probably the best hybrid active/passive design I've ever played.
I'm sure there are others that do it right, but most recommendations I've seen for good passive/active hybrid basses are for far more expensive basses.