From what I see in the scriptures we're taught to deal with suffering by looking for the good that God can bring through it.
There's enough trouble and suffering comes our way without having to look for it. A lot we can't avoid, so there is the proper Christian attitude about it.
Nevertheless, it's not something to be enjoyed--that would be perverse, I think. But certainly we can appreciate the good that comes out of it if we persevere. It makes suffering transformational, for which we can rejoice.
Also God disciplines us, as his children. It seems to overlap with suffering at times, because when I was a boy and my father disciplined me, it seemed like suffering. But then, I knew I deserved it, whereas suffering isn't quite that.
You made a lot of great points, but I was surprised by your last sentence. Personally I deserve to go to hell right now and burn there forever. It's only the free gift of God's own Son and the incredible suffering he voluntarily went through, that causes me to not deserve that.