I ordered a conversion 357 sig barrel for my full sized 40 caliber M & P through MidwayUSA. Finally got to try it out a couple weeks ago. Shot great! Ran a few mags through it with no problems. Recoil seems actually a little milder than the 40 caliber. It's a drop in barrel that's a little tight at first.
I bought the S & W barrel, not the Storm Lake, which is much more expensive. Very happy with it! If you have a MP 40 I highly recommend the 357 Sig drop in barrel by S & W.