I find that the A-Pigs tame some of the issues I have with my Peavey/Orange combination too, compared to the other BKPs I've owned, which have been less bassy.
The pickup I have that has the most issues with my Peavey is the stock Gibson P-90 in my SG Junior, mainly because it is a trebly, noisy pickup, but swapping it out for the much bassier BKP Stockholm P-90 and shielding the cavities should tame most of those screeching and feedback issues