The Last Two Balloons; and Eliminating False Positives

Depending on how the DARPA submission website works; one possibility for finding the remaining one or two balloons, is to brute-force submit every minute/degree combination; something around 14*60*49*60 = 2.5 million combinations. However because of false positives, it may be necessary to use some degree of brute forcing just to select among false positives.  For instance, if we had 30 candidates; we would have 30 choose 10 = ~ 30 M possibilities to try.