In a ceramic bowl, combine the cooked rice, shrimp, and papaya.
In a separate small bowl, combine the picante sauce, honey, pineapple juice, lime juice, ancho, cumin, basil, and olive oil; whisk together well to make the dressing.
Pour the dressing over the rice mixture and toss well to coat.
Chill for 1 hour.
To serve, place butter lettuce leaves decoratively on a platter, place salad on the leaves, and serve.
Note: the spicy-ness of this salad depends completely on the picante/salsa that you choose, because otherwise it does not contain any particularly spicy ingredients. Ancho chile powder is not very spicy at all - rather, it's smokey - so if you don't want it spicy, don't use picante/salsa that's too spicy for you.