I always make my camp next to a spider den, get a crockpot and start making food out of the monster meat the spiders drop. I currently have 3 crockpots which I use to make kabobs each night. All the other kind of meat is for the Pig King!
I think berry bushes block movement. I was thinking of surrounding your berry bushes or the berry you use to lure the gobbles with something that blocks movement, but berry bushes is the only thing (apart from structures) that I can think of. This game could use some kind of barricade block structure so that we don't have to build fences out of chests.