Imho this is a job for the Miracle Man or possibly the Blackhawk.
The MM is such a brilliant answer for the question of Trivium, Alter Bridge, Bullet, Avenged, and Volbeat. Dunno about Shinedown tbh. It takes the classic EMG sound and makes it full and organic, boosts the clarity and kick in the balls from palm mutes. The champ of chugs pretty much, with harmonics jumping off the high end. The lower mid chugging power is one of a kind here, paired with a cutting up front high end and filling but not focused center mids. Some people like to say it is scooped, but it does not lack center mids, the lower mids and high end are just more up front (if that makes sense).
The Blackhawk is an even more direct take on the EMG idea. It does go even more on the concept and not just on the sound produced by them as the MM did. The bottom end is lower and the high end higher. The sound is decidedly more modern too. That means perhaps that it does the really modern tones with more authority, but the MM was always able to channel a certain 80s flavour (or nail it all together), which you would really apprechiate for "The Poison" era Bullet tones for example. The BH is however cut cleaner in that modern sense, more precise, etc.
Both kinda take on the EMG thing. The MM goes from the classic 80s EMG tones to modern and takes em up a notch with passive life. The BH comes in decades later and that narrower focus allowes it to bring out the modern feel more.
And then there came the Juggernaut which then took the BH and paired it with the Aftermath, to make a pickup that had less deep and low bottom end than the BH and the tighness of the Aftermath without being as dry as said thing, etc.
There really are three options here in the end (I throw out the Aftermath cause imho it is too middy for most LP types which already have a lot of mids): Miracle Man, Black Hawk, Aftermath.
Personally I would say go with the Miracle Man bridge with either matching neck or a Cold Sweat, which is a bit of the lighter weight brother of the MM, neck for immense characterful chugging and fluid lead sounds. The latter is a proven combo and both should really do brilliant Trivium, Bullet, Avenged tones. At least that is the pickup I would chose for them any day of the week.
