You currently cannot get stickerless cubes with any colors other than the standard ones. Also, a traditional Rubik's cube(made by the Rubik's company) has tiles that cannot be replaced. You can buy custom stickers for a speedcube though.
One more thing; there is no "correct" color scheme. There is the standard color scheme, and then there are other color schemes. But there is no "correct" one, it's just opinion
EDIT: I've heard stories of dying primary plastic to try to make a different color scheme for a stickerless cube, and they never work but just ruin the cube