Had the same problem with my slug gun, so I took 1" off the stock. No more hang ups under my armpit when wearing winter hunting jackets.
Scribed a cut line on the stock at work with a height gage/surface plate. Band saw then disk grinder to the scribe line, installed a good recoil pad.
Picture shows original recoil pad, the 1" cut away and aftermarket pad.
Thousands on the boat.
Hundreds on decoys.
Time away from the wife....priceless