Uh.... no.
The best and cheapest perk price for a smith is two points, to get Elven Smithing. That's enough to get 567 with only one point in Agile Defender. If you go up the heavy side of the tree, you don't get a better weapon than Elven until Ebony, 4 perk points up, and the best of the best weapon, Daedric, is a whopping 3 points better than what you'll get from Elven. Woo.