Looks like you made the right choice. Best area to stay for any ECB-based tourney is generally going to somewhere between GA400 and I75/575, outside of 285. Stay in that area and you should be in the optimum location for at least 5 of your games. As an example, son has 6 of his 7 games for 17U next week within that space I described. .
And I don’t recommend you stay along the I85 corridor (Gwinnett county, and this will include Lawrenceville). Games are very rarely held in this area, at least historically. A few HS coaches have started allowing use of their fields up here, but it’s still very rare.