Interesting site, thanks! However, I still don't believe you could detect the difference between the Rock and a real asteroid if the crew was serious about hiding. Drive signatures are what gives you away.
The adventure did point out that it would look suspicious if the Rock was not in an orbit or on a trajectory normal for asteroids. But this is detective work, not detection.
A rock of radius R around a star of brightness B (in multiples of Sol) at orbital distance D (in AU) has B1367πR²/D².
A ship with a 250MW powerplant in use, assuming an absolutely perfect conversion to energy and no waste heat in the plant (patently improbable to approximately 1/∞), still has 250MW of energy converting to heat by use for non-radiation non-locomotion systems.
Inactive humans run 70-120W, typically; active humans up to 3000W.
Given the average asteroid is at 2AU, a 10m radius asteroid runs around 107kW solar input, and will be at equilibrium, so it radiates that, as well.
Once converted to a "ship," it adds at least 250MW –– a 1Td PP and an engineer –– for 250.107MW... a jump in radiated energy of x2500.
Note that, at a cold start (solar input only) equilibrium won't be reached for several days... but it will NOT be a shirtsleeve environment for most of the first day or two. And a warm drive shut-down will not cool to equilibrium for several days, and will no longer be shirtsleeve for the last day or two. So, if keeping it in the warm zone, you are radiating several times the solar input, as you've raised temp above freezing (and most asteroids are below water freezing point).