Aren't Dyson Spheres supposed to surround suns, mostly for the purpose of drawing power.. at least as originally proposed.
ALTHOUGH.. the idea of the shell/ring using a network of smaller satellites to surround an object, would allow it to encompass different sized objects.. although there would have to be a minimum size to the object.. like a planetoid at least the size of our moon, but probably should be bigger.
Which, if we use the idea of it broadcasting a signal for the party to discover (wherever it happens to be), with a large number of smaller satellites (each still a large size), they could actually explore several in a "decent" amount of time, but don't have to explore all, as some might be damaged beyond repair.. and they could maybe use as a base of operation or sell for scrap while the main network can be made operational without the missing piece?