Oh, no! Does she wear any ID? Got a chip in her, in case someone turns her into AC? I'd call the local AC to see if they've picked her up. She might be waiting in doggie jail for you, and in some places, the AC only has to hold for 2-3 days for a claimant before they euthanize... You could at least file a report with them to let them know what you're looking for, in case she turns up.
It isn't totally strange to think that he got the ram, since rams will often times try to defend the flock. If the ram turned on the cat to charge him, he was the first in line for dinner.
I'm sorry about the ram, but I know you'll have a replacement for him from this year's lambs... I'm more concerned about where Pearl has gotten to. I know you would have to equip the place like Fort Knox to keep her contained, so not much you can do there... But weird that she'd be so scared that she'd abandon the flock and you. Have you put up some lost dog signs?? Not that you're right in town, but at least the locals would have an idea that your girl is missing, so she'd be less likely to get shot, and more likely to be returned.
I'd say drive the highway and call her, but not sure you really want to head her down the mountain toward traffic.