I sometimes pray with my eyes open. It is usually when I don't feel like praying. When I think that I need to sort my mind out before bringing it before God.
It seemed a natural thing to do. God didn't want to hear my thoughts as a tangle of mess. Writing it down now, I realize how wrong I was. God is the one who helps me untangle my thoughts. Without him, I would be in a total mess.
Going further, isn't that my excuse when I read the verse "pray continuously" 1 thes. 5:17? I think, "God just heard what's happening in my life, I don't want to overload him with information!" Again, I am very far from the truth.
God loves it when we keep him in our lives always. When we keep him out, we aren't doing anything good for ourselves. As always, God knows better. With him in perspective, worldly things are given a shove from God down the ladder of importance. They aren't erased all together, but they become less stressful. This usually means we can get on and do whatever we thought was "way too hard", because now we understand, God is there for us even if we fail.
So, now I think I should actually pray with my eyes open. Because, I should be praying; talking to God; all the time.