I run all those tracks and run Brian's and Patrick's Tires there, either work great. Keith Maupin tires are good too, but I'm not sure he's doing anything right now tire wise. I think he might have moved to Knoxville already.
Either way, as far as tires go you can't go wrong with either, Patrick's prep for Burris is a traditional Red prep. I sell his prep and lots of others. I personally haven't used Carlson's prep but he obviously knows what he's doing. I wouldn't hesitate to get his advice and prep if you're interested in his stuff. Most of our tires are Carlson and Maupin. But, we run UAS so take that for what it's worth. Patrick has a lot of guys that run his stuff, and he has a lot of success at all three tracks.