I'm a current resident, but only one individual. Happy to relay my experiences though.
First, regarding programs even knowing where you rotated - keep in mind that unless you include a letter from a doctor from that away or volunteer that you rotated regionally (weird), it's often not listed where you rotated at anywhere on your application. You should ask your registrar if your course listing says the name of the institution or geographic location. Mine just said "Orthopaedic Surgery Rotation" 3 times. You couldn't even tell my home rotation from the aways.
Next, it doesn't make a lot of sense to rotate anywhere except where you'd like to end up. Things are so competitive that everyone needs a way to make themselves known. Outside Daddy buying your #1 choice a new building, no leg up is more influential than rotating somewhere. We get to know you, work with you, learn with you - and ultimately that matters a lot when we rank so many amazing applicants. It should matter to you too, what happens if you hate us/our program? Plus, imagine saying to the place you really wanted to go to "well, I love your program, really I do! But I needed to game the system and didn't have enough time to rotate with you too". Not only would the hospitals you "gamed" not necessarily even know you rotated in that region unless you tell them, you basically stubbed your toe at the starting line at a place you actually wanted to go to.
Me personally? I didn't rotate within 1000 mi from the WC and got an interview there. I got more interviews around my birthplace than where I lived for 20 years (shrug), and the variety and caliber of the interview offers was humbling. It's hard to tell this to anyone as a MS4 and expect them to believe you, but just relax, have fun visiting cool places - and get pumped for March. One way or another it'll all be over then.
So forget the game - just rotate where you want to be most. The rest will come.