220 from a 2s isn't that huge of a draw from a 4400 mah pack. That could be handled by a 50c battery, if all of the numbers on packs are even remotely correct then a good pack should be able to handle 400 plus amp draw.

Now how factual that is I don't know, I race off-road cars and traction is always the limiting factor, not power. I usually ending backing my punch down instead of adding boost and timing because keeping it hooked up wins much more often than being the fastest guy at the end of the straight.