Gregg, there are several opportuities to qualify. You can qualify at a tournament before ETAR or there at Denton Hill where you could qualify on Thursday, Friday, or Saturday morning. You qualify at a cost of $2.00/shot for each shot. The target is a 1.5 inch orange dot on the kill zone of a deer target. The distance is somewhere around 15-17 yards.
Last year there were 27 archers who qualified. The eliminator round started at 5:00PM. Each participant steps up to the stake when their name is called, and shoots at a 3 inch dot again on the kill zone of a deer target. After the first round only 3 people survived. After the second round, only 2 survived, and after the fourth round, only one.
It's a crowd pleaser and the tension can cause some normally good shooters to miss badly. One of the local clubs here in NC had an "Eagle Eye" last year after ETAR and it went well. This year there is another one scheduled. It could be a popular event. Just make the eliminator tough enough that you don't have too many qualifiers, but easy enough that you don't discourage everyone from trying.
Good Luck!