The baby oil / sugar paste may be your safest bet. It combines an abrasive crystal (sugar) to abrade off the surface skin cells with a NON-POLAR solvent (baby oil). Now I know that, when you're trying to clean this stuff off non-people surfaces, the best solvent is xylene, a non-polar aromatic solvent (Chemist's jargon). And you can use it on skin, but be warned about two things:
1. Xylene is related to benzene. Both are VERY flammable, so NO HEAT OR FLAMES!!! And both are toxic to livers, so the xylene MUST be used for only a short time in a VERY well-ventilated area.
2. Xylene (and a few other suggestions here) are very good at removing normal skin oils. After use you may find your skin feeling quite irritated and reddish. It's not a chemical burn, it's just skin completely died out and unprotected until it can restore itself. After ink removal, wash the area well with soap and water, then maybe put on just a bit of skin cream or oil to give your skin a head start on returning to normal.
I expect acetone and alcohol will be less efffective; they both are highly polar solvents. I would NOT use methyl ethyl ketone (MEK). It is a particularly good solvent for many things. But is also can actually penetrate the skin down into your body, carrying itself and any disolved materials with it. Try something safer.