I've an A/T as well, and track it. Now with an ACE 250B header. Heaps of fun.
And it's definitely no slouch.
It maybe a tad slower than the manual, due to the longer gearing & extra weight, but I don't think you're going to be hunting for that last second
Just replace the pads & fluid before tracking,
see my thread how it looks after a moderate track day (about 1.5 hours of total track time). It can take it, but not well.
Other considerations:
Tracking makes things run hot. Very hot. I've oil temps up to 130-133 C regularly.
Pretty much guaranteed the A/T fluid will get hot, too. And replacing the A/T fluid is a biatch.
Think about a vented hood, and/or oil & A/T fluid coolers on the long run.
Just a single track-day will be fine, unless you're at a very hot location. In that case I'm not sure.
Afterwards you can decide if you want to continue.