The bike doesn't really look too big to me. It's actually a smaller frame than most of mine!. Randomly tinkering with saddle and bar height is probably not the best way to go. A rider's inside leg measurement determines the correct saddle height, and for efficient and low fatigue pedalling it needs to be set pretty closely to the figures arrived at using the established mathematical formulae. Therefore it should be regarded as a fixed, not variable setting once initially done.
The lower the bars are in relation to the saddle, the more the upper body has to lean forward to reach the brakes. Therefore, if the rider feels uncomfortable with a sensation of falling forwards towards the hoods, the bars need to be raised as much as the adjustment will allow. The closer the bar height is to the rider's natural shoulder height the reach is shortened and less body weight is carried by the arms.