Oh Meat. There is nothing wrong with flux core, except it's appearance. It gets better penetration for the dollar than any gassed setup. TIG is not overkill. It looks and performs better, it's more adaptable to exotic materials (alum, stainless, magnesium, etc), plus if you can get good at out of position TIG, you can weld anything, anywhere. ANYTHING.
But a MIG is more practical.