I don't know about your specific plants, but grasses are usually ok. I have a huge jasmine bush in my yard. I inherited it with the house. I didn't realize that true jasmine is toxic to chickens until well
after I got chickens. But they don't eat it. They will dig around it, climb through it, etc. But they stop short of eating it.
Mind you, my jasmine bush isn't in the run. Whatever you plant there will be destroyed by your buddies. I like what
@TooCheep suggests, and I have seen a lot of BYCers who plant around the run. I've also seen people plant in the run and put "cages" of deer netting around the plants. In both cases, the birds can still eat the plants by pecking at the leaves they can reach, but not uproot the whole thing.