If your going to 'line' whats there, I'd say go the chicken wire route..Their heads won't get thru it, but it might not be 'strong' enough to keep a persistant dog out? and a young dog may be able to put their snout thru it.. If you could afford it, I'd throw up blockade fencing, even if it's only 4ft, it might help with their dogs confrontational attitude.
I would probably as a courtesy, write them a short note, if you don't want to speak with them, telling them what your going to do and frankly, I'd tell them why..their dog has been nailing yours..(I'd be nice about it)
Danger Danger vom Kleinen Hain aka Masi
"Angel" Jakoda's Bewitchen Sami CD OA OAJ OAC NGC OJC RS-O GS-N JS-O TT HIC CGC
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"Angel" Jakoda's Jagged Edge