Personally, I think you're in great shape.
A couple of things:
I've been watching these boards and I've not seen the level of scores on the TEAS Version 5 anywhere near the levels of Versions 3 and 4. In general I'm seeing most people with high 70's/low 80's. I know of a couple of 90's at ASU, but most of the people I've heard from have been in the more typical range mentioned above. In fact, the average percentiles on the TEAS 3/4 are fully 10 percentage points higher than TEAS 5. I realize it's not the NET, but still......I'd say certainly you are in great shape and hopefully I am too....
So you know, my score at 85.3% was in the 98th percentile national/program and I'm under the impression that it is still at that level.
I can't imagine ASU overall is that far off the national averages, so at the 99th, 98th and even 97th percentile you've got to have a pretty good shot at things - especially with a 4.0. Correct me if I'm wrong, but the 99th percentile would indicate that on average, out of 100 people taking the test, you did better than 99 of them. Sounds like pretty good odds to me.
I'm getting the feeling that they've made a conscious decision just not to give any indication of how they think you've done - period. That's fine but why the long delay from May 1st the application deadline until July when we find out if we're in or not? SOOOOOO frustrating!