When I replied to Gonnagle, I was commenting in the context of him being a Christian and that this is a Christian topic, but to answer your first question, inner stillness can be a helpful stance in those circumstances. When engrossed in an intellectual pursuit, I suspect that is when the Eureka moment occurs, and when surrounded by emotional turmoil, with practise a peaceful centre can be found from which to act or not act. In answer to your second question, I would have to give a 'Jesus' approach to prayer (asking) rather than a Christian one i.e. 'God knows your requirements before you ask' which I believe means the requirement of release from deviating self centredness (sin) and union with God centredness, in a phrase, the Kingdom of Heaven within.
I genuinely see no real difference between the idea of taking time to pause and reflect and inner stillness when trying to resolve a serious issue. Both descriptions suggest the same thing surely, i.e. that we should try to take an important decision separate from any undue emotional overtones, so that a balanced decision has the best chance possible of being achieved.
The alternative of praying, as I see it, has the possible unfortunate consequence of relying on whatever you think God is supposed to want. Indeed, the very act of praying may arouse all sorts of emotions, some of which may be helpful, but just as easily may be counterproductive.