Very impressed with your beautiful fencing, no wonder a quick escape route is impossible. Mine never looked that sturdy. We used stock fencing without any extra lines of wire at the top so we could just step over easily, and never had any of our pigs trying to do the same. One possible solution that might just work: cut a piglet sized hole neatly out of the stock wire at the bottom, positioning it somewhere near the two arks, bend the cut ends back. You give Lucky a selection of slow treats mixed in hay on the far side of the sheds/hole, then when she is fully occupied looking for them and happily munching, see if you can tempt the piglets you want through the hole with, say, grapes or a few nuts. Temporarily, you cover the hole with a plank of wood from fence post to fence post, lots of bits of rope/string handy to tie it in place. Permanently, the hole can be safely repaired from any future escapes by using a larger piece of stock wire over it, and wiring every horizontal and vertical strand around it tightly together. Obviously you need at least two people, one on each side of the fence, and ideally a third taking captured piglets to wherever the vet is working.
