Stir together first 4 ingredients.
Spread butter mixture evenly over cut sides of bread.
Cut cheese slices in half; place 2 halves evenly on bottom halves of bread. Top with ham slices and tops of bread. Wrap each sandwich in foil.
Bake sandwiches at 350° for 5 minutes or until thoroughly heated and cheese melts.
Note: Sandwiches may be prepared ahead and frozen. Bake at 350º for 40 minutes.