That's what happens when you open exhaust up...you could try some expensive experimenting with cat backs, but anything with no cats or even high flow cats will sound raspy. If you're running no cats to the stock exhaust, I'd get a Corsa system. ZL1_Tommy is Kooks headers + no cats and used to run a Magnaflow exhaust and it sounded like...well this:
He changed to a Corsa Xtreme system and it sounds a lot better IMO. There's videos on his Instagram, not much on YouTube except for the end of this video @ 1:26:
Corsa doesn't drone, as noted, and usually rasps less.