I have one full rest day a week, where I am NOT ALLOWED to do anything on the pole, or any running, or anything. Not even flexibility. Nothing.
Rest days are supposed to be just that: REST. Cardio still works your muscles, and for things like pole, unless you're doing something that you find very, very easy, then you aren't really resting.
My other days depend; either I'm doing pole, cardio, or both. Rarely do I like to pair them up on the same day, because I can get very tired, quickly! So, I pole dance four days a week, and run for three days a week. One of those days, they double up. One of the days, I don't do anything!
For more active rest days, I would recommend something that is light impact, easy, and not too strenuous. Even yoga can be too much, depending on what you're doing. A walk is good, and hooping, some tidying of the house, something easy!