coincidence?
I just did the same conversion to my #22 glock! I sent for some once fired brass from Midway, 500 grade 3 nickel plated and 500 grade 1 brass. I started out with the nickel using a new set of Hornady dies. I didn't get a lee factory crimp die at first, but now have one.
I ferst used blu-dot for a few test loads BEFORE the barrel arrived. They dropped right in the chamber and the barrel dropped right in my well used 22/40s&w. I only had made up 20 of the blu-dot loads, so I stopped to get some rem 125 fmj factory loads,(green box).
Since then, I have tried some loads with power pistol and a surplus powder, WC 820. The 820 is a slightly fast H-110 or w-296 burn rate. I hoped it would be usefull for the sig. They went BANG but even on a brite winter day, the muzzel flash was quite impressive!
Accuracy was quite good as far as group size goes. Here's some of the groups at 25 yds.
Here's the rem factory loads, not at all impressive!
Here's the one load I tried with power pistol. 8.0 grains behind the Hornady 125 HAP bullet.
Here's the WC-820 load, 11.7 grains is the starting load for AA#9, it was the most accurate of any I tried. These were using the 124 Horn xtp bullets.It was also quite dirty, leaving some unburned powder around the chamber/slide area. I may try this powder again with some 147 grainers. it should work better for those!
All the reloads were crimped using the lee FCD. I couldn't tell by looking at the mouth of the case if I was getting a good crimp. So I loaded a dummy, sized case with no powder or primer and crimped it. Then I pulled the bullet with my knetic puller to look at the bullet with a 10X magnifier. A nice ring was apparent around the bullet.
I'm using reloader Fred's procedure of treating the 357 sig as if it were a rifle round. We DON'T bell the mouth of a rifle round to load jacketed bullets. Fred uses a chamfer tool and simply seats the bullet. it works just fine in the Hornady dies with their sliding seating chamber.