Does God give us more than we can handle (or allow us to experience)?

I say yes.

If God limited our challenges to what we would/could handle, then we wouldn’t need to rely upon Him. I have sinned and fallen short of God’s glory, and only through HIM can I do all things. Without HIM the challenge would exceed me, I am not enough by myself. I am frail, I fail, I am broken, but through Christ I am restored, and through Christ I am liberated from the too much of life, because I can indeed rely upon God’s good grace to see me through.