Slide saddle back (rearward) as far as it will go. Probably have 1/2-1" adjustment there.
(When your pelvis/hips are too far forward relative to your feet, that means your center of gravity is forward, which forces your hands to support more weight)
Rotate bar upwards (brake levers move up) about 10-15 degrees, so that the ramps (where the bar slopes down to the brake hoods) are closer to a flat surface. Lower stem a little so that your hands are not any higher than they are now.
(Right now, your hands are trying to grip a downward sloping section of bar, or resting on some fairly narrow brake hoods)
Make saddle level (place a large book on saddle, it should be level).
(As noted already, even a slight nose down tilt causes your body to slide forward, so you have to push back with your hands)
See if that helps.