Yes, that will work.
Here's what I was suggesting.

Zero_Cross.asc (2.81 kB - downloaded 15 times.)
A few hints/tips.
Rather than adding a shunt resistor, add the following SPICE directive:
.options gshunt = 1e-9
gshunt connects a conductance between all nodes and 0V. Conductance is the reciprocal of resistance, so the above statement adds 10
-9S or
1/10
-9Ω = 10
9Ω = 1GΩ between everything in the circuit and 0V.
Rather than using V(node_A)-V(node_B) in the plot, use V(node_A,node,B). It saves writing and makes the plot window less cluttered.
Use the signal symbol in [Misc] for AC voltages. It puts a nice sinewave symbol on the schematic, which makes it easier to see that it's AC.