Gary, The best substrate is what closest matches their environment in the wild. For you, its what do you think is the easiest to clean. Tile will work, paper too. They will dig if given the opportunity. Can you , do you want to provide that? I use turf, The really dense high end stuff. I cant provide digging in my enclosure. Pick up is easy on turf but keeping it really clean is not. I dont like how hard surfaces bend their toes over, but thats just me. Stay away from the chips and shredded stuff.
BTW, too much fruit. If you want a big healthy animal, more high fiber greens. Fruit is seasonal for cyclura and they dont find much of it.
jf