I'm using an all mahogany Saint Blues Mississippi Bluesmaster with a Mule-set for a projectband. We play Led Zep, Sas Jordan, Beth Hart etc, so a lot of classic rock. Mules are great for that. I have the feeling, but I could be wrong, that the Mule-bridge is a bit underestimated here on the forum. A lot of people choose a Mule-neck with a BD or a VHII or even something hotter in the bridge. I can just testify a calibrated Mule-set is very balanced and capable of everything from crisp cleans (especially the in between position is fantastic, dynamic, deep, fat yet crispy), to blues, bluesrock, rock, hardrock and - with the right amp or pedals - also metal. The bridge is pretty tight for a PAF and sure tight enough for me, the neck is perfect for classic LP-tones. Mules are very articulate and you can really steer the degree of drive/sustain by picking soft/medium/hard. Btw, I have the VHII in an ashstrat and that's a wicked pickup too for all kinds of (hard)rock, but I prefer Mules for classic rock.
I don't want you talk away from the BD, just give you another good option to consider.