So lets start with the skill build here as you can see pretty much the standard one for melee but the thing that sets this apart from the other builds being posted is the El Dragon relic.
The relic scales the dot off of Amaras melee damage so if you hit for 31k then the dot that follows is 31k and it’s 100% guaranteed upon every melee she does. This has great synergy with Amaras Fist of Elements tree as it increases both the status effect length and damage through her skills. The dot is always fire damage so you’ll always want your action skill element to be fire to boost it as high as possible.
The shield I actually just got this morning and need to see how much harder I hit for now, but I was using a Rough Rider with roid damage before that so either will work but the one I linked is preferred for maximum damage.
The mod isn’t the exact one I have anymore but you want 1 point into Find Your Center for that 100% melee damage boost then as many into personal as possible for the free damage for your primary weapon which I’ll be getting to. everything else on it is randomly rolled so if you find one with melee damage and shotgun or gun damage that’s what’s preferred.
Finally time for the star of the show this baby scales off of melee damage so the higher your melee damage the higher damage this gun does. Since you have illuminated fist it does 2 different kinds of damage one being your element and the other being normal kinetic damage and of course if you put on a different relic for melee damage it will also do that element as well.
Now for how to play this build, you typically if the mayhem modifiers allow it just want to knock off the shields of any non fire resistant enemy and then punch it, that’s it. You are free to walk away as the dot will kill it even on super badasses if the melee override isn’t on cooldown. The shotgun will 1-2 shot normal enemies and is really flexible so you can add whatever element you want through relics and your action skill element, no need to swap weapons unless you’re out of ammo. I normally just have an ice gun on my second slot to shred armor and use a low leveled splash damage pistol to knock my shield off.
Update!
Here is a video of me running through the beginning of the Jakobs Estate without elemental damage modifiers to show of the build.
And another longer video showing off on more shield heavy enemies with a 75% elemental modifier.
A video of me running through the cunning trial. I feel that it really needs a 300% melee anointment on the Facepuncher to deal with the dot immune anointed enemies to get a consistent sub 5 minute run, otherwise everything else just melts.
A quick run of me killing Tyreen without any weapons for fun 
