The goats have become so tame in the last few months. I think it might be because they're eating hay exclusively now, so all of their food comes directly from the humans. Whatever the reason, I was able to deworm all of them in about 15 minutes today. All but one of them let me just walk right up and grab her. Of course Goshen tried to escape, but she was stupid enough to run into their house and was easily caught.
I also had the opportunity to try out the pvc and duct tape solution to goats getting their heads caught in the fence. It probably works better in warm weather, but here in the winter the duct tape didn't hold very well. The pipe only stayed on for a couple of days, and then those goats were right back to getting their heads caught.
I've designed a much sturdier version using pvc and pipe clamps. It's still in field testing, but once I've gotten the bugs worked out I'll post the instructions.