TJF, Yes I snare mink and muskrat too.I use a Doubled Swiveled snare made out of 1/16" GAC or 3/64" GAC and the one that I like the best. 1/32" 1x19 stainless steel. You asked, so I dont think Bogmaster will mind me saying. I do sell these snares.
Snares have it, on dry land trails.I also have a few bottom edge sets where the mink wont enter a 110, snare takes them here.Set 3"-4" loops, 2 fingers high,it works for me.
The end stops on the 3/64" and 1/32" snares will probly pop off before 350#,but I have never tested it.