Try moving your seat rearward. To keep from over extending your leg during pedaling, you will have to lower the seatpost a small amount (<1/2").

Having your rear end further back can reduce the weight on your hands. Imagine standing in front of a table, bending over with your legs vertical, you press hard on the table to support yourself. But if you bend over, while pushing your butt backwards, you are balanced and don't need the support of your hands. Same principle has you pushing your rear back when doing squat lifts.