Give it a try without wrapping. Or, try butcher paper as your wrap if you still want to wrap. Are you wrapping when the bark is set to your liking, or wrapping at a specific temp? That may help a bit with the bark, but foil is going to soften the bark.
I’ve wrapped a few times, and prefer to just let whatever it is I’m cooking go without. Just my preference.
That said, your chuckie looks great!