When Poe Dameron gets captured by The First Order in The Force Awakens, Kylo Ren manages to extract the information about BB-8 from him, which begins a manhunt (droidhunt?) in order to acquire the map.
However, considering Poe's rank within the Resistance, surely he would have a great deal of information pertaining to their efforts in resisting The First Order.
After the interrogation, he is very quickly released from incarceration by Finn, and the opportunity to interrogate him further is gone.
However, considering that Kylo Ren is particularly skilled with mind reading, why did he not try to get any more initial information from Poe? Even just getting the location of where the Resistance were hiding would have benefited The First Order greatly, considering they
destroy a number of innocent planets in the Hosnian system on the off-chance they are where the Resistance is hiding.
Was retrieving the map a particularly time-sensitive task that Kylo had to interrupt his interrogation part-way through in order to begin the search?
BB-8 was unlikely to get particularly far on a mostly desert planet like Jakku in the few minutes that would have been spent continuing the interrogation.
Or is there evidence that Poe had enough willpower/ force sensitivity to resist the mind-reading to an extent, meaning that retrieving any more information from him would have taken a significant enough amount of time that BB-8 could have made enough a full escape?
They obviously didn't know that he would be broken out of confinement by Finn, but considering that Kylo Ren would definitely be aware that Leia was saved from the Death Star he must have at least considered the possibility that someone would eventually attempt a rescue.