Right. I think it's easy to end up in a strange phase where you're attempting to mix productivity with relaxation. You wake up and think, you know, I really need to accomplish this much this week. Then you kinda also think, but I need a break...you end up combining the two and making the worst of a situation. You need to go one way or the other. So if you really don't feel up to doing stuff, take a real break. Don't intersperse it with LSAT prep. You might even come back wanting to study having been away for what feels like (in LSAT prep time) a long time.
I realize it's different for everyone, but I feel like people sometimes discount the psychological aspect of this. The mixture of expectations, study habits, and self-awareness a person has matters a lot.