Whatever jig you end up with, the longest part of the process is waiting for the router to wind down, before lifting it out. If you don't do that, odds are high that the jig will end up with a bite out of it.
My lock and strike jigs look very similar to this one. The one for the door needs to be long enough that quick clamps, that hold it to the door, are out of the way of the router. The one for the jamb has screw holes for behind where the stop goes.
https://www.templaco.com/html/produc...al+Application