Even a "pickup team" can draw scouts away from the main complex if you are pro-active in getting your players to communicate their schedules to teams of interest. Coaches are there to see kids and if someone expresses interest they will most likely get a look, even if, from the coach's perspective, it's to see who's a contender and who's not.
I took a "pickup team" to East Cobb 4 years ago and had a very favorable experience with coaches coming to remote locations to see the team play. Several of the team's players ended up signing with colleges they first connected with there.
I understand the reluctance to be with certain teams, and I do agree that a team full of scout magnets is your best bet. But if that's not an option for you for any reason, I wouldn't want you to conclude that East Cobb is not worth the trip, because it is.