I don't think anything I currently have is going to work for 357 sig. The 9mm insert is not compatible with the 40sw body because the diameters are not the same.
primers.......yeah. I have been watching for them to pop up recently but its like finding a unicorn right now. Not sure if you have used it before but ammoseek.com is your best bet. Set up a saved search with notifications.
Ohh just looked on there and saw this. Won't last long I am sure.
https://www.midwayusa.com/product/13...ampaign=332027
Here is the search I used currently.
https://ammoseek.com/reloading/prime...int&ikw=pistol