If i wanted to run power tools from the receptacle in the bed or even under the hood
I would remove the stock air filter & change it to a different setup, similar to what the Rams with 2 batteries have.
I would also run a External Voltage Regulator & a good battery isolator
Then i would install a 2nd battery, what ever it would take to store enough juice to run the power tools. I would install a power inverter & a battery isolator close to it.
For wiring, i would run 4 or even 2 fine wire gauge for low resistance back to the power receptacle. ( Tin wrapped welding cable has hundreds of fine wire strands within the cable )
I would put the receptacle itself on the passenger side of the bed, because if i am running power tools, i would want to be away from the traffic side of the truck, if i have to work while parked on a street & power cords for tools is only 5 or 6 foot long. You would not want to use extension cords if you can avoid it.The longer that the cord is, the more juice is lost in those 12 gauge wires.
2016 Ram 3.0 diesel 3.55 w/LSD, G2 tonneau, Line-X, Weathertech mats, Mag-Hytec differential cover, Nfab bars, CB radio, EGR bug deflector