I think you're paying too much attention to the fact that the toon is idle because YOU KNOW it is a bot... In Battlegrounds, people couldn't care less... If you're not moving, they'll assume you're AFK and they'll kick you. If you're in the exact same path than other player, they'll assume you're AFK, autp-following the other player... Most people don't know about bots, in fact, many, many of the players you'll find are little kids...
Personally, i have run BGBuddy for 72 hours straight... Never had a problem. Sometimes I find the toon in Orgrimmar with the desertor debuff, but that's all. Blizzard usually bans players if they're messing up with the economy... There are very, very few bans because of "batteground cheating".
Just run the damn thing and let it gather the honor for you.