I'll leave it to the experts to confirm, but the LRV was certainly out of line-of-sight of the LM for much of each traverse. Would that affect the signal between the LRV and LM?
The LRV antenna was AFAIK only used for the TV, and because it needed to be pointed directly at Earth, the TV could only be used when the LRV was stationary. Hence there was only TV when the LRV was stationary - at each geology stop. TV while driving would have been amazing, but wasn't technically practical. Obviously, when the LRV was stationary the antenna would stay pointed in the one direction. I understand there was a simple viewing device attached to the antenna to allow the astronauts to re-aim the antenna at Earth each time they stopped.
As for the need to point the antenna at the Earth, there is a piece of video from Apollo 17 where the TV camera remained on while Cernan drove the rover a short distance in a straight line at a slow speed. The picture quality was pretty terrible.
As for more detailed answers, my guess is that the Apollo Lunar Surface Journal website would have a decent amount of information, and the video mentioned above was on the Apollo Archive website.