338EDGE over 338RUM because of brass. 338Edge is reformed Remington 300Rum and like the 338Rum brass life is three reloads before primer pockets get loose.
Now with the 338Edge head stamped brass Shawn Carlock is getting from Bertran Bros brass life is like what you get from 338 Lapua which 15 or more reloads primers are still good.
Using the Remington action it will take the 338Edge but will work for the 338Lapua.
For me it's a not brainer 338Edge with Bertran head stamped brass from shawn Carlock will do what you want.