Karen, I think you can cook your rice all the way and then use it cold. From the Uncle Ben website
"Our delicious flavored rice varieties are the ultimate in convenience. That’s because they’re precooked, so you just have to heat them up and serve them with your favorite recipe or rice meal. Since they’re microwavable, they’re ready in just 90 seconds."
To match the recipe timing (as if using the prepackaged stuff) I think the cooked rice should be cold (or at least room temperature), not hot from being freshly made.
This is a totally unsubstantiated guess. As I said, I've used the packaged stuff with this recipe because I could never make consistently good cooked rice. Now that I can, I might try this idea.