Personally, I think they should adjust the entire system.
Caveat: Judging is always subjective
First method: Record the performances at Area competition. Give the judges at each Area one (or two) alternate slots to submit to a panel at the State selection level. The State selection level can judge all of the presented alternates and invite x number to the State competition.
Second method: Rather than decide x number of bands from each Area advance, provide the total number of bands for each Division (1A, 2A, 3A, etc) will advance. Then use a point system to judge each band. Highest point totals advance until all slots are filled. Ties would have to be dealt with.
They won't adjust the areas any time soon, unfortunately.
If I were a director in this Area, I would highly consider not marching in the UIL contests and only go to BOA or USBands contests. 3 or 4 bands in this Area take this approach, only the 3 would ever advance. That would highlight the problem.
At any rate, looking forward to the Area competition.