Mix Bisquick and water to make a biscuit dough. Roll out dough into a 17 x 13-inch rectangle.
Mix together the ground ham, brown sugar, mustard and mayonnaise to a spreadable consistency. Spread mixture evenly over dough. Roll up jellyroll style; pinch ends to seal. Cut into 1-inch slices, and place on baking sheet sprayed with Pam.
Bake at 425 degrees F for 7 to 10 minutes or until golden brown. While baking, prepare White Sauce.
Melt butter, whisk in flour and gradually add milk, whisking until thickened. Add shredded cheese and stir until cheese is melted. Season with salt and pepper. Pour sauce over pinwheels, then serve.