I'm with hig4s on this one. I put mine on two, two by fours. I like the idea of the cinder blocks to get it up off of the ground a little.
I would be careful covering it for the same reason you shouldn't cover a kayak in your back yard. If you put a tarp over a kayak, it will trap heat and could damage the plastic in direct sunlight. For the same reason I wouldn't throw a tarp over the top. That would be different than putting the top in one of those tarp type car ports because the tarp is not in direct contact with the top so the heat wouldn't build up too high then.
I recently went on a trip from Massachusetts to Florida and decided to put my hard top back on. I gave it a good scrub down with special attention paid to the seals that seal the tub to the top (on the underside of the flange). I cleaned the seal that seals to the freedom top well also. It went on without a hitch and has held water out well. This is the fourth time the top has been put back on from after storage in my back yard. Where it sits, it is in sun during part of the day. That does not seem to be a problem with it.
Participate in life....Keep movin'....Go there....JK'n it.........Do it! Jeep #1: Red Rock 08 JK Rubicon 4dr, 6 sp manual, Stock Mud Tires, MyGIG Upgrade, Hard Top, after sale BestTop SunRider Soft Top, Congo Cage Rack, Mopar slush mats Jeep #2 Black 08 JK Rubicon 2dr, 6 sp manual, both tops, some chrome...uggg (my wife's jeep) Jeep #3 White 92 YJ (my son's jeep) A great quote from a good friend: "All hail click clack and master jk'n." Click and clack are my idols!