I logged out in the class two last night, and our entrances are all closed, so the only vector for attack is someone who patiently logged out in the system to try to jump us when our guard is down. Possible (it's certainly happened before), but fairly unlikely. In any case, this is a good time to get chores done, and pilots come out of the woodwork to deal with the planetary interaction colonies.
I cover the many industrials warping hither and yon with a single combat scanning probe out, ignoring all current signatures and watching for new sigs and/or unknown ships. Coupled with my directional scanner to watch for the sudden appearance of an unlikely but not impossible system lurker, I feel pretty safe, and for once my feelings appear to be accurate.
P.I. done, Bre decides to shoot some sleepers on her own, so I leave the probe out and give her until its normal expiration timer (less than an hour) to enact her plan. She manages to clear three sites in that time, and while the loot is a bit low-average, it's still 40 or 50 million isk she'd otherwise not have. A good, if quiet, night.