Output noise in a spice(-like) simulator is generally computed as the noise voltage at a particular node, hence the units of V/rt Hz.

If you want A/rt Hz, then you need to have a simulator that supports current probes for noise analysis.  Check the Eldo manual; I don't know if it does.  And you also need a circuit architecture for which the noise current is relevant: if you haven't put on an appropriate load, you circuit won't be supplying current and you won't be able to measure the noise of a non-existent current.

Yes, that should work.  The CCVS does the conversion of A to V, so you can just read the output noise as being in A/rt Hz instead of V/rt Hz.