[X] Shrine to Shrine: A religious tour would certainly look good to any courtiers following--or at least, the open piety was important--and you are in fact pious and would be interested in going from minor shrine to minor shrine, to check up on how that is going. Shrines, temples, there's no monastery on the lands, but there is one nearby, too.
[X] Homebound: Go straight to the manor, and spend most of your time there. Perhaps problems will present themselves that way, and it's the one that makes it easiest for the courtiers to follow you and talk.
[X] Noble housecalls: Technically, it'd mean spending relatively little time on your own land, but you could easily spend a lot of time getting to know your neighbors and seeing whether they were going to be trouble or not.