Too worried about a balanced offense.

Ok so I am all for having a balanced offense. But, does anyone else feel like sometimes we put a little too much focus on being balanced. I think sometimes we are, and we end up being stubborn and hurting our offensive production. In the game today, I realize that Brees had three picks, but I feel like that's because we would put ourselves in situations where Tampa knew we were going to throw. We would almost always run on first down, and then we would often run on second down for no gain or a loss. I mean I want the running game to be good, but when it's not working, we're just wasting plays. Tampa was stacking the box, and we still kept trying to run. Then at the end of the game we just started letting Drew sling it, and it was the best the offense moved the ball all day. I know it ended with a pick, but it was still the best offensive drive we had in my opinion. I just think that we need to use the passes to try to open up the run, rather than the other way around.