There is no easy out now. You are addicted to it and there is no magic cure. If you want to quit it is going to take determination and the longer you keep going the harder it will be to quit.
It may not seem that bad right now but like any other addiction it will get worse if you don't quit. Eventually it will take more cuts or they will get deeper and scars will become even harder to hide.
All those suggestions like the ice cubes ARE good, but you figured it out, they arn't the same and none of them, will be.

I wish you th best of luck and hope you find better coping mechanisms to substitute.