Yes, the vast majority of oscilloscopes are grounded. But there's nothing else in your circuit that needs to be grounded, so just make sure it's not. Build the entire circuit so that nothing, including the power supply and the uCurrent, is grounded. Then you can stick your scope probe wherever you want, as long as you keep in mind that once you do, the circuit is ground-referenced, so you can't go sticking channel 2's ground somewhere else.
Most DC test equipment is not ground referenced, so you can just make sure everything floats, and you can stick your scope anywhere. You have to pay attention when you start attaching function generators, spectrum analyzers and such, because AC equipment is often grounded. (A lot of function generators are not, but many - especially cheaper - ones are.)