There is no answer to the problem of suffering, that works for me.
Oh, yes there is, and just because you don't - or wont' - understand it, doesn't mean it doesn't exist.
I cannot imagine a decent, (I won't even go with loving), God creating a,"Plan of Happiness," that allows for 40 thousand children to starve to death each day; for untold child abuse of every kind, for children suffering beyond what we can imagine.
Then you clearly do not believe in the core concept of free agency, which places you quite staunchly on Satan's side in his great controversy with Christ and those of God's children who chose to come here and undergo the trials and refinings of mortality.
Either God sits by and watches this horror and cruelty and doesn't care enough to step in and help, or God is too busy worrying about malls, NY billboards, ocean front property in Hawaii, and what color shirts men are wearing to church that "he" doesn't have time to notice the poor, sick, hurting children.
This attitude appears to me to be nearly depraved in its frog-in-the-well pride and presumption, and bespeaks a level of philosophical depth approximate to that of the late Madalyn Murray O'Hair. This is hardly an either/or question as you've put it here, and commits the fallacy of False Dichotomy, as given.
All the excuses and justifications LDS leaders (and others), come up with to explain away the horror that exists on this planet do not come close to working for me, nor do they make sense on any level, or feel in the least bit, loving or kind.
Then perchance you could adduce, in a clear, rigorous philosophical manner, your alternative?
I would rather live in a world without a divine being than live in a world where the divine being created such a plan.
Good then. You would rather live in a world void of freedom to choose and the gift of individual agency. You wish to be one of the Eloi.
The Great and Spacious Building is close to overflowing with such as this, so you will be in good company.