I suspect if you apply the motor oil as carefully as you would very expensive bike chain lube, that the mess would be quite tolerable. Maybe use a Q-tip? Or a pocket knife. Dip blade into oil then along the inner-outer interface on each side of each link. Slow, But a careful job should work just fine and not be too messy and not throw oil. (And yes, motor oil is formulated for different challenges. Bike chains and normal riding are so un-demanding lubrication-wise that simple 3-1 oil works just fine. That motor oil will still be working when you get your pedal RPM up to 5000.
Ben