Cook sugar snap peas in a large saucepan of boiling, lightly salted water for 1 minute. Using a slotted spoon, transfer peas to a colander. Rinse under cold water; drain and set aside.
Add orzo to the same saucepan. Boil for 8 to 10 minutes or until tender but firm; drain. Rinse with cold water; drain again.
Meanwhile, drain artichoke hearts, reserving marinade. Cut artichokes into bite-size pieces. In a large bowl toss together artichokes, sugar snap peas, orzo, tomatoes, and cheeses.
For Dressing, in a screw-top jar combine reserved artichoke marinade, vinegar, water, sugar, and dill. Cover and shake well. Pour dressing over salad. Toss lightly to coat. Cover and chill for 4 to 24 hours. Makes 8 servings.