The mink isn't going to go up the pole in all likelihood, although I've had weasels do it.
When I was in high school and college the martens were protected, and I swear you simply couldn't keep the things out of traps! They would go into the water or down tunnels (mink sets), jump on #2 coil springs in dirt hole sets (for fox) and sometimes even get into blind sets for otter. What a pain in the keester... I tightened up the pan tension on my fox traps trying to keep them from tripping the traps, but finally gave up - they must have been doing running jumps directly onto the pan or something.
The nice thing with the pole sets is that the animals seem to die fairly quickly once they break the trap loose and hang. I used sewing thread to fasten my traps to the pole, and that seemed to work very well.
Another variation is a "platform" set where you wire a board or split log (small firewood size) between a couple of branches and hang your bait directly over the trap. You only use this set in a good thick evergreen, so the various hawks or owls don't see the bait, come in and get nailed.
Some guys use conibears in inverted plastic flower pots, with the bait wired to the inside of the pot. The bait is not visible to birds and I understand it works pretty slick.