Cut steaks in half lengthwise. Place steak strips between sheets of heavy-duty plastic wrap, and flatten with a meat mallet or rolling pin to 1/4-inch thickness.
Cook bacon in a large skillet until lightly browned; drain. Combine bacon and next 3 ingredients; spread evenly on steak strips. Roll up each strip, starting with a short end; tie each roll with string or secure with wooden picks. Wipe skillet clean.
Melt butter in skillet over medium heat; add steak rolls, and brown 3 minutes on each side. Add 1 cup broth. Reduce heat to low, and cook, covered, 1 hour and 30 minutes or until tender. Remove beef rolls, reserving drippings in skillet.
Whisk remaining 1 cup broth and flour until blended; whisk into hot drippings, and cook, whisking constantly, until thickened. Return beef rolls to skillet, and cook until thoroughly heated.