Simulating a specific circuit on LTspice
The problem here is I have no idea how to edit the current controlled
  voltage source to reflect current passing through the resistor.


To begin with, you need a current dependent current source and not a current dependent voltage source. Or you can choose an arbitrary source.

Your input to the source is ill-defined by "R1". See how this example works: -



You need a dependant current source (B1 above or H for a CDCS) and the variable that is your input is I(R1): -



As you should be able to see, Vin (left) is going to be 1 volt and Vout (right) is going to be 10 volts.