You probably should assume that it will wander/swing/yaw at anchor because basically all of these beamy sloops with high freeboards, fin keels, and spade rudders do so. Even some of the narrower full-keel sloops and cutters do so as well. About the only sailboats that do not, or at least not much, are your classic yawls and ketches; particularly yawls, where one can hoist the mizzen sail far aft to stabilize the boat. You can try to control the amplitude of the yawing in basically the three ways that I've tried. 1) Use all chain rode which restricts the range of movement of the boat in light to medium winds; 2) Moor the boat with a bow and stern anchor; 3) Hoist a riding sail to act in similar manner as the mizzen sail of the yawl or ketch. Of those methods, the descending order of effectiveness is (2), then (3), then (1). In descending order of PIA score, it's also (2), then (3), then (1). There are other ways reported as well; you mention one--the bridle. A variation of that is the so-called Pardey bridle, where a line is run from a stern cleat to the anchor rode and cinched up to the point where the boat lies at a low angle to the wind direction. Essentially, one side faces the wind all of the time; this pressure keeps the boat from yawing much.
You probably do not see much bow and stern anchoring in FL but it's fairly common here in Southern California, regrettably. It does make sense here, however, because the wind usually blows from one direction most of the day and for many days on end, although it may die down each night. So, it's possible to moor the boat with bow toward the wind and that will usually remain the wind direction if there is any. If it does come from another direction it is usually light. FL is much different from my experience. There, the wind can blow at any time from just about any direction at any strength. Mooring is less feasible (dependable) for "comfort." So, might not be a good option.