Lightroom :: How To Color-correct / Color-match Lot Of Photos To Certain Target

I have something like 1,850 photos, taken in RAW and later converted to DNG, to create a stop motion. All the photos were taken with the same camera (Canon 5D Mk II) and most of them with a 24-70L. All were taken in the same lighting conditions (in an interior, with the house lighting from flourescent lights) and the same day, in a period of maybe 2 or 3 hours. Each "take" was with the exact same camera and exposure parameters.
 
When processing the photos in Lightroom (using the LR4 beta) I can see some minor but very noticeable differences between color an exposure in the photos of the same "take". The exposure can be more or less automatically corrected by the Matching total exposures (although I think this doesn't work when the exposures are really similar, but there are some subtle differences like in this case, say, something along ~1/5 stop or so), but I haven't found how to try to match the white balance. All of the photos have already been set to a specific WB (I took a ColorChecker Passport at the beginning of the session), but there are still some differences between some of the shots. Some of them look a tad more greener. I blame the flourescent bulbs, but I'm not sure of the real cause.
 
So, the question is: is there a way to match the color balance of a series of photos to a target one? I really don't want to go photo by photo setting the white balance manually. Is there a tool like the Match total exposures, but for color balance? I have already tried with the automatic white balance, but the problem is that the decided WB for the photos is not the one I need, and I need to have the same WB for all the session, and this could change from different takes. The difference between shots is usually around 4 or 5 "points" in the Tint scale, some are with Tint +11, some with +15.
 
Or any other tool that could process this after? At the end I'll use JPGs to create the stop motion, so if there is a tool that could process the exported jpgs it could work too.