TJx

I glued down the loose part, put a patch on the outside, rode it today on my commute with no problems.
I went ahead and ordered a Schwalbe Marathon Supreme in 700 x 35C from Wallingford. It seemed like a good compromise between rolling resistance and puncture protection.
I may just carry the new one in my Arkel for awhile or maybe put it on and keep the damaged one for the front eventually were I can keep a better eye on it or save it for a beater bike.
I still think the Hard Case is a good tire, it didn't go flat and whatever I ran over (the side of a exposed bolt on wooden bridge?) may have damaged any tire.