If the 2 amps have a 12V trigger switch, that could be way less than $2k, but not really with a remote.
And it would still require flipping a switch which is not much easier than powering the amps up.
I suppose if there are not 2 amp outputs, then you would need a pair of Y-connectors behind the preamp.
My preamp has a couple of amp outputs, but I have to haul myself out of the chair to do that, as the remote does everything but which amp gets the output.