Hiya , ( and welcome ! ).
I have not used Stormy Mondays with much overdrive, but went through a Larry Carlton phase , with a cheap 335 copy - and getting B.K.P. to swap my existing Stormy Monday magnets between the original Alinico II , to Alnico IV and back again. The reason I even considered a magnet swap ( which I later reversed ) , was the fact that the Bass strings on a 335 copy sounded too 'soft' for crispy Blues riffs. This may not apply in a much lighter / more resonant 335 original, but there was no escaping the fact that Alino IV pulled the bass tighter - but ended up putting a toothy edge on the top strings, that an alnico II version did not do.
When I carry that experience forward to my transition to Chord melody, and the use of AII Stormy Mondays and Manhattans - I come to the following conclusion(s)
Matched B.K.P. sets are my favourite ( and I am thinking specifically about Mules for your needs )
However :
I think the tasty exception to the rule that I would be tempted to consider for you, is the Alnico IV verion of the Stormy Monday for the bridge and a ( Alnico III by design ) Manhattan for the neck.
That is however speculation on my part - and the previous answers have come form a more direct 'gigging with B.K.P.' experience than I am basing my opinions on. :)