I use regular Correspondence cards (blank white card sized card) and also DCWV cardstocks. I stamp with Memento Tuxedo Black. On both I have no problem to start colouring straight away. I stamp, wait 30 seconds for it to dry and start colouring. As for digi stamps, I wouldnt know as I dont really like that much. I've tried it but the ink keeps running so I stopped using those. With the DCWV cardstock you need patience tho, cant fill up the cardstock too much with the copic inks, you brush the copic on and leave it. Not layer on layer on layer of ink. Otherwise it will bleed into the papers to the sides. I've done it a couple of times and first few times I got it totally wrong but after I knew what the problem was, it went great
It takes practise tho to work with Copics.
Did you know, lots of professional Comic artists use Copics to colour their comics??