Curling is probably a tough one to include for someone with a lung issue, at least as a newbie, and without significant modification.

It might work with the right team at a casual club level (I've done a "no sweep Saturday" team before). I don't imagine OP taking to running up and down the ice most of the game while putting in some effort to sweep.

Using a stick delivery is another good way to reduce physical effort. Throwing takeouts alone can wind people.

And then there's the yelling.

You might get away with throwing lead stones with a stick delivery and skipping for maximum reduction of physical effort even at a more competitive level.