Isn't furballing exactly that? It's even called the Furballing area. When my squadmates and I go to the DA, we do a couple duels in the designated areas (where we are left alone), then we head to the furball area and usually work on wingman tactics. We expect to get picked at, that's what it's for. Help you raise your SA without having to fly for 15 minutes first. If you want your own fight. Get with someone else that wants to, and fight there.
Maybe make a roster on the BB with times and names of people who would like to find good 1 vs 1's and coordinate that way( I know there are plenty of AvA oldschoolers that are missing this also). Then take it to the designated fields. But I agree. An MOTD would at least give set rules so if someone is messing with your 1 on 1s, you have reason to film him and send to HTC.