I wonder if moving the saddle farther back is going to do anything for you. It's a little hard to tell from the pics, but it looks like a plumb line dropped from your knee (when the crank is horizontal, as it is in your second pic) is already pretty close to where it needs to be. Right through the axle is where the KOPS (Knee Over Pedal Spindle)rule-of-thumb says it should be. And increasing the distance between your butt and the handlebars is only going to make you lean even farther forward to reach the bars, meaning you're likely going to put even more weight on your hands.
Or so it seems to me.