I'd carry out executions on the side of the main road leading to the village. If there is a little mount where the crosses can be erected, great.
The place should not be to far away from the houses, maybe 50 or 100 meters.
People that come to the village can see that justice is taken care of.
The floggings can be done in the Village on a public square, from there the condemned are marched out to the execution site.
An aspect for me is to generate as many spectators as possible. For the villagers it's entertainment to attend the flogging and then follow the victims on their last walk. The condemned get good attention, will be closely watched while getting punished.