I'd tie it in to the disposal and cut that trap off in the basement (cap it or put a clean-out on the end of that drain line).
Most new dishwashers come with the "high loop" already installed (clipped to the side of the machine, so that's not really an issue. The problem I have with using the dedicated trap is that velocity can also cause the trap to lose it's seal. The water is pumped out of the dishwasher with some force, so it's conceivable that all the water could shoot right past the trap and down the drain - leaving the trap empty.