In some cases, you may just have to resort to a heat treatment of the neck.
Just my opinion, but it seems to me that Alembic tries to build things such that you need only a modest amount of truss rod tension to achieve the proper relief (and I think this is a good thing). For various reasons - using much lighter gauge strings, playing the bass in a different climate, or even just the continued aging and adaptation of 'the tree' - you may find that the proper relief adjustment may no longer be achieved.
From what you have described, it sounds like you are in this situation. Certainly, try Rami's suggestions first, but if you truly understand, and know how to measure, a slight bow - well, if you can't get any, then you have a different problem, and raising the bridge will not be a satisfactory solution.
It's not really a big deal. As I understand it, if you sent it back to Alembic, James would stand there with a hair dryer blowing on the neck for about 15 minutes (he gets really bored, but hey, it's part of the job), which softens the glue that bonds the fingerboard to the neck, and perhaps the bonds between the neck laminates as well, and then simply press it into a slight curve and waits for things to cool.
Presto, the neck itself wants to have some relief, and you now have more range in your truss rod adjustment. If done carefully, this can also compensate for a slight twist, where one side of the neck wants to bend more than the other (you sound like you may have a little of both).
I hope I'm not explaining this incorrectly, and I certainly wouldn't want to try it myself (for reasons I won't go into, even though I'm bald I seem to have a fairly powerful blow dryer laying around here somewhere...).
But if this is the problem, you can perhaps find someone locally to do the deed.
If you have recently changed strings, or moved the instrument to a different climate, you might want to tell us a little more about that.
-Bob