New Gamemode Idea

So, my friend and I were thinking up a concept for a new gamemode. This concept could prove to be very fun, in my opinion. Pretty much what happens is there is no gold. Every 2-5 minutes (not sure what a balanced time will be) you recieve one item. Haven't quite decided what would be balanced, all full items, or some unfinished/base items and some full items, whatever. You get an item. Once you hit 6 items, everyone's items start changing. A random item from your build will be replaced by-you guessed it- a RANDOM ITEM. This goes on until the game ends. This would be pretty fun because you could be Draven with Rabadons, Randuins, Statikk Shiv, Sword of the Occult, Zephyr, and Banshee's Veil. This could be like an unwilling Ultimate Bravery. If anyone would like to expand, please do, but I like this idea. Opinions and criticism accepted.