I use copper-tungsten for burning carbide with fine details. For everything else I use graphite, it will definitely burn faster. I do not use plain copper for anything. Some people like copper so they do not have to deal with the dust of machining graphite electrodes.
The most common/popular graphite is Poco, and for your application (speed priority), I would use Poco-100, or an equvalent. This is their coarsest grain size, which will burn fastest, and also the least expensive.
I don't know what other brands are available to you, but I have used Isocarb (I55 grade), Pro-graph, and SGL (grade 8510), that are all very economical, and burn quickly, when you do not have tolerance or finish requirements.
If you are in Valencia, Florida, your local distributor who sells you your supplies currently, should be able to offer you several choices. If you're in Valencia, Spain, Im not sure what your options will be. I understand that copper is a much more popular electrode material in Europe, than in the US.
I'm not familiar with the ONA power supply, but I would use setiings for the same type of burn (active surface area, depth, flush conditions), as I would for steel, and possibly make adjustments based on the speed and stability of the burn, and the final results.
Sorry, that's the best I can do. Good luck!
Cheers!
Roy Solomon