Cage and trashcan protection schemes are fine until a palm gets taller than 6 or 7 feet. Then you have an "Uh oh!" moment -- usually in the fall of a growing season when the palm gets too big.
Severely complicating matters is most palms are not suckering. They don't produce offsets. Therefore, they can't be pruned back like a dicot. So, the cage method is great, long term, for say, Oleander & Laurus. Every fall, you could trim those plants back to fit the protection scheme.
One palm that I haven't tried in-ground, but would seem to lend itself well to confined protection shelters is the Med Fan. They don't put on trunk very fast. The crown is very compact. The fronds, small. From a 1-gallon size to 7 feet would take awhile. And, when it finally DOES get too big, you could saw off the main trunk and begin the process all over with the base suckers.