I have also heard rumours that spy builds have a higher drop rate. But these are all rumours. It's all chance and luck
Best chance to get Equipment is to do the new eb's straight away and Xstal, you WILL get them quickly that way. Build doesn't matter.
Nothing is completely random; there is some convoluted algorithm that all systems have. A release of this algorithm would be ripe for abuse. But anyways there have been some cases where I get items right after another and sometimes when I don't get them at all. My advice is just keep active in EBs and eventually you'll get them. I have a few and I really don't care whether or not I get them.
The best build is to sell all you buildings, except the castle, then set it on fire, say "A Thinking Ape" three times, then throw your Idevice/computer out the window, then look at you equipment, and you'll see you wasted your time.....
I hear that if you hit the reset button at the bottom of your profile that you will automatically get all items.
Full attack build I suppose, as you would do more damage to the epic, therefore you get a better chance at a juicy drop. Drops aren't totally random, the more damage you do, the better chance you have at getting some items. Though it's not exact, so being the biggest hitter in an epic doesn't necessarily guarantee an items drop, though it would give you a better chance at it. Just keep hitting your epics, work, buy xtals etc... The circle of life goes on. An item will drop for you eventually.
The mods can't do anything about the chance of getting equipment.The drops for equipment is based on an algorithm.