You’ve added more detail that shouldn’t be added, didn’t add detail that should, and at 77 words the logline is too long – brevity helps the reader understand your concept.

In short, and seeing as it wasn’t explained well enough, loglines are made up of clear details of the major plot points of the story. The farming community being small is irrelevant, who gathers the hunting party is irrelevant, it being a coalition of willing is irrelevant, where they will venture off to catch the beast is irrelevant, them trecking further and further into the woods is irrelevant.

The main character is relevant, you NEED one main character for the story to be focused on. I get that you have a story in mind about a few people hunting, but to make this work you need one dramatic point of view for the story to be told from.
Who is the main character in the group? Is it one of the farmers that lost animals, or better yet one of his or her children, to the beast? Is it the sheriff? Is it the leader of the hunting party?

Second is the inciting incident, what spurs the main character on to take action? In other words, what is the powerful motivating out of the ordinary event that makes the main character have to achieve a goal?

Segue in to…

The goal! Yes, it’s pretty obvious that the goal is to catch the beast, but you need to specify what this means – kill it, prevent other people or animals from being mutilated, banish it to hell. Whatever it is, specifically, that the main character intends to do must be described.

From the many iterations you’ve posted already, I have pieced together enough information to provide you with an example:
After his son is killed by a livestock mutilating beast, a farmer leads a hunting party to kill it and prevent more tragedies.
23 words.

Here is another example of the same concept that includes a form of twist:
After her son is killed by a beast, a farmer leads a hunting party after it, but they are attacked and realize the beast is a shapeshifter amongst them.
29 words.