Your purposed BiS isn't taking into account accuracy based foods. When factoring those in you can gain higher STR value than what your set provides with Black Truffle Risotto. So the follow sets are comprised of non-crafted pieces using different foods. STR values listed are obviously only showing stats produced from the gear and removing base/racial stats.
http://ffxiv.ariyala.com/Q3J5
The set you linked reaching 538 accuracy from gear alone resulting in 495.872 STR using Black Truffle Risotto.
http://ffxiv.ariyala.com/PZBQ
This set results in 537 accuracy and 496.438 STR using Flint Caviar. (+0.566 STR)
http://ffxiv.ariyala.com/Q3IQ
This set results in 535 accuracy and 495.992 STR using Apkallu Eggs. (+0.12 STR)
Not a huge difference, but it needs to be noted what food is being used. I mean if you're going to run T13 accuracy you likely won't be skipping the food. Obviously Flint Caviar isn't something everyone is going to have easy access to, but Apkallu Eggs are easy enough to obtain. Any of those three sets will be more than sufficient. Also it must be noted that stat weights are about to be revised based on some info Dervy is stumbling into (the person that gave us the current weights we use).
As Odowla also stated low Skill Speed isn't a mandatory thing. I prefer having around 400 Skill Speed. With this my combos feel more fluid to me. This can be kind of a personal judgement, and when we're talking about sets within ~1 STR or less it's not going to make much of a difference.