I would LOVE goats up there but there is NO fencing at all. My granddad used traditional hedging but you can imagine what's happened to that since he died in 1999 (and in fact, how things got away from him in old age - he died at 89). I definitely intend to use goats myself to help with the issue, and also pigs in the gravel pit which is grossly overgrown with nettles and bracken.
I actually contacted the FAS about the issue and they gave me some interesting info regarding what constitutes a hedgerow etc. Basically brambles are fine as long as they're not 'part' of a hedgerow or boundary AND the area is first investigated for possible nesting sites.
One of the reasons I like to get it right is I run a YouTube channel and am likely to get trolled at some point for doing something wrong which, obviously, don't want to lead to fines etc!