Truth is, God never promised that He wouldn't give us more than we can handle. If we could handle our own problems we wouldn't need Him. It is precisely when we are so burdened that we feel completely helpless that God has us right where He wants us. Our Heavenly Father's desire for His kids is not that we live problem-free lives. Rather, He longs for His children to learn to depend on Him in times of trouble and not our own feeble efforts. That we cling to Him and His Word and not to our own reason and intellect. That we place our trust fully in Him and not in our strength and understanding. That we, as 12-steppers would say, "turn our will and our lives over to the care of God."
The harsh reality is, the beginning of surrender is most often found at the end of our rope. But the benefits of surrendering to a loving Heavenly Father are rest, contentment, peace, and a strengthened faith that knows that, with the Father's help, we can handle anything that comes our way.