Then again, it would be utterly idiotic to not order shields in this situation.
Clearly so, and I see little reason to assume Esteban's crew didn't raise shields, or that Esteban didn't specifically command this when we weren't looking. Remember that apparently Kirk never raises shields in "Balance of Terror"!
Yet there are situations where our heroes delay raising shields because they hope against hope that they could recover a stranded landing party or away team. Such is the case here, too...
Kruge obviously had spies inside the Federation. Maybe they obtained the shield frequencies to the Oberth class?
Conversely, Kruge could have been utterly ignorant about the characteristics of the obscure and non-warriorlike Oberth class, and unaware that the science ship did not have shields of any sort and could not withstand a single half-power disruptor blast even in the best of cases.
Timo Saloniemi