It may be that I shoot a lot of texas stars. My local club has 5 of them so I see them all the time. The star turns relitively slow and does not seem to change direction but that may change as the plates come off.
To me the trick on this one is to follow one of the shoot targets. I would begin in the upper right corner and take the plates going counter clockwise while following the shoot target. After 2 - 3 plates depending on wheather they used a one way or free spinning sproket (for lack of proper term.) the star will change direction. Just drop down to the opposite shoot target and the plates will turn into your gun but from a clockwise direction. If the plates are slow to appear use the time to pick up 2 alphas on the paper. Any misses on the plates will create sloppy c, and d hits.
I shot a similar set up star but without the shoot targets, just two no shoots. On this one at least they give you some extra points to chase while your waiting on your plate.