make multi cuts with a circular saw. and then take a flat head screw driver and hammer, to tap out any were from 1/8" to 3/4" chunks between the saw cuts. then use a good sharp chisel to clean out the notch.
i say good sharp chisel. a dull chisel can make work extremely hard to work with.
i would be uneasy taking chain saw, even a reciprocating saw. and trying to get a nice constant depth across the entire area of the 4x6. ya they could make things quicker, but also most likely sloppy. at least that is my experience using a chain saw or reciprocating saw over that much width.
a circular saw set the depth. and get the lowest cut made, then everything else up can be pretty much random, just as long as you make enough cuts, to easily take a screw driver to pop the small chunks between the groves out. and then clean up with a chisel.