Thanks so much @devoy!
Scrolling down that thread I came across an Applescript I modified to suit my needs.
Just in case anyone stumbles across this in the future, I'm attaching the final macro here.
Reposition Palette to Front Window.kmmacros (9.0 KB)
I use it as subroutine after the "Show/Hide Macro Group" action. This macro determines the active screen (useful if you have 2 monitors), then positions it to the active screen. You'll need to customize this line in the "Move to Second Monitor" action to match wherever your second monitor is
