Hi Daniel - Getting the most splinter free cut will require a specialty plywood/veneer/laminate blade. They're usually a high tooth count, Hi-ATB grind. Blades like the Infinity Ultrasmooth 010-080, Freud LU80R010, or Forrest Duraline fit the bill. It'll be super in plywood and will also crosscut extremely well.
A blade like the Forrest WWII 30T would be a nice compliment to a good 80T Hi-ATB blade, and will easily give glue ready cuts in fairly thick material and acceptable crosscuts when needed.
If you'd still like to try with one blade, the new
Infinity Super General 010-044 and Freud P410 Fusion both offer a unique Hi-ATB grind in a 40T general purpose blade. These won't offer the best performance in any particular area, but will do most things surprisingly well, and will outperform other general purpose/combo types in plywoods due to their Hi-ATB grind.
You can cut a ZCI from a phenolic blank to fit your saw.