I've been on ToT and don't like the dropping part. But, I'm terrified of heights and I get motion sick pretty easily, so, it's really hard to say whether there's a fibro component to that dislike. I don't recall feeling specifically worse after riding it and I've had some pretty bad whiplash so my neck tends to be sensitive -- EE was horrific!
Despite my dislike of the drops, I still ride it periodically because the theming of the ride itself is so great. If I were you, I might plan to ride it near the end of the day and then head home to the resort hot tub to soak away any residual problems. But, it could be a risk and you always need to weigh the set of possible risks to decide which are most important for every trip.