Which out of the Blackguards are you referring to? There's 4: the Flat '50, the Flat '52, the '55 Stagger and the '68 Stagger.
The Brown Sugars are more forward in the mids, while The Boss's have a woody, slightly scooped midrange character with more low end. The Boss set also has the more compressed feel you'd expect with the hotter wind.
To me, it seems like the Brown Sugars are the most natural choice for you. As the name suggests, it was definitely created with that Stones sound in mind.