If you have 200 images, you don't need 200 different white balance setting unless the temperature of the lighting also changed 200 times. Since you shot RAW (you did right?) the WB setting you initially chose matters very little (although as proven on this site, it matters a bit). Just select the images that were shot in the same lighting, perhaps 40 images, choose an appropriate WB and sync that to the remaining 39 images of that set. Do this a few times and you are done.

In response to you comment, if you are shooting JPEGs you really need to nail WB in camera and stop shooting in Auto. If it's too late for that, the process in LR doesn't really change but you will simply have far less latitude to make white balance modifications. To choose an appropriate white balance, use your knowledge. Was the room incandescent or florescent lighting? If so use that to start as a base WB and adjust from there. Auto isn't as bad as people make it out to be, it can be decent to start in certain conditions if you don't know what else to do. This is a deep topic I won't get completely into. Using a dropper can be effective if you know how to use it. Using a grey card or expodisc is another option. Trust me, it's all possible, I'm color blind and figure it out just fine!