I used the regimen last years for some time and it cleared my skin and then i stopped it because even though i had been doing it for 3 months, my face still burned anytime i would apply the bp, or get my face wet after application of the bp (the pool or a shower). My acne came back and drove me crazy and crazy sad about the way i looked so i started the regimen again. It's been 1.5 months and my face still burns every time I use the bp or get my face wet. I have sensitive skin and I use sunscreen everyday with my moisturizer.
How much BP are you using? Don't follow the instructions given in the product description on the BP if it feels excessive. Use the "largest tolerable" does instead. If you can't handle more than the slightest dose, that's fine. I'd say you may react more to the product in that case and wouldn't need to lather it on as heavily as some of those who develop more of a "tolerance" for the product. You're not spending excessive time in the sun are you? I see that you said you apply sunscreen, have you tried Jojoba oil? It certainly helps with drying and I'd imagine it may alleviate some of that irritation as well. If it were only temporary I'd suggest Ibuprofen as well, but that shouldn't be a long term solution.