I don't think schools could make that judgment because even if they take your best scores for each individual sections, they cannot accurately calculate TS. They could average to get a new AA for you, but that's just more work for them to do so I doubt any school would actually do it. I really think they just pick the better of the two tests based on overall performance, and not individual scores.
Though on the list, under VA states "improv". So I guess they might actually interpret your best scores. Call them up to check.