Windscreen?
One church I worked with, and their solution was good enough that I didn't bother to dig any deeper, had this problem with an MX418 (usually a podium mic I find satisfactory).
They found, and I don't know where, an oversize windscreen, about 1.5" in diameter. It may have been an optional part from Shure... Shure employees are all over this area, and one of them was a volunteer at said church.
I thought the windscreen was just a safety mechanism when I first showed-up, a comfort blanket of sorts. I took it off one morning and immediately regretted my decision. Plosives, and all sorts of breath noises. The EQ that morning was off the charts.
Perhaps you just need a honkin' huge windscreen.