It would be very interesting to me to inject some Sumatra genetics into your flock and see if that would improve the savviness. Not the show lines, but rather a combination of show and hatchery stock. It seems to me that a Sumatra crossed with a Florida cracker would produce some incredibly savvy free rangers.
 I had a hen that ranged out a quarter of a mile on occasion so she was at least partly familiar with the lay of the land in this scenario. Half that distance was more normal but the field they had access to, was a quarter mile field. She was a hatchery Sumatra and an incredibly good mother. She had the built-in instinct to fake a broken wing to lure a predator away from her babies. In this instance it was a neighbors' dog. She had done something similar to our 16 week old puppy earlier in the year.
 She had twelve chicks just over two weeks old when a dog from the neighboring farm showed up, she gave a sound of danger and the chicks scattered in various directions and scooted underneath any bit of cover directly available, a couple of them just froze in place. This dog came to the normal area where most of the coops were at, she got his attention by flapping around and faking a broken wing, the dog took off after her, but she stayed just out of his reach. She took him to the end of the field which is exactly .3 of a mile from where she started. At the end of the field was a brushy fence line, she went through the brushy fence line with the dog still chasing her and took to the air flying all the way back close to where she had left the chicks. She waited for approximately 10 minutes watching to see if the dog would come back, he didn't which when she seemed confident that all was well she again made a clucking sound of "come here my babies", they all cautiously popped up from where they had been hiding and ran to mama.
I stood there and witnessed this first hand.
This was in an area with coyotes, bobcats, foxes, raccoons, opposums, skunks, feral cats and neighboring dogs.
 It was also a hawk migrating route bringing what seemed like half a dozen hawks twice a year on top of the local hawks that very seldom were able to get any chickens because of their savvy dispositions.
I don't have any of those Sumatra genetics anymore because I decided to raise Cubalaya instead, but I have done something similar to what you are doing with your free rangers and it shows.