My opinion is you are going to need both. While it is true that the disc will give you the consistency you are going to need for a good riding surface, the size of disc that your tractor can pull is not heavy enough to penetrate hard-pack. You might get away with it if you wait until the soil is very damp and then load a bunch of extra weight onto the disc frame to force it into the soil, but that doesn't always work either. You need something to break through the surface and loosen the soil, then you can disc it to make it smooth. The tines on the box scraper are designed to do just that.
If you can't afford both right now, you may be able to buy the disc now and also get a ripper shank cheap and use that to break up the soil, but it will require many, many trips around the track to do so.
You might also want to think about getting some coarse sand brought out to the track to mix in with the clay, especially in the turns. You can use the disc to do this. The sand will help keep the clay from setting up so hard.