i pity these sporo infected cats, strays, no one would want to sayang it or handle the animal. Strays are strong but only to a certain degree.
I do hope with the advice found here, you'll be able to make a better judgement of what exactly to do. PTS is an option although expensive, i say expensive because this is a very subjective matter and there'll be those that will say this and that, not knowing the full situation the owner is in, that if you can keep cats, you ought to have the means to take care of em bla bla bla..............for all you know, they've never owned or had cats or be it any pet, in their lives.....and even if they do, they'll tell you all the DOs n DON'Ts whatnot....anyways, can't please everyone....
Back to the sporo cat, sending to the hills will be a maddening experience for it having already spent time at a home and around people with food and water.

Hope the cat heals in one way or another.