It all depends on what you mean by "handle"!
A combination of good bolt-on hardware, turbo upgrade ( hybrid K04 or 28 series Garrett turbo) and software will get you to 400whp and 400+lbft.
That is about as far as most tuners would allow the CDL lump to be tuned with any kind of longevity guarantee. Over that I'd seriously consider up rating internals ( forged pistons, rods, valve train etc).