I always had a rye starter when I was doing Yoke Mardewi's classes. Eventually I managed to kill it and didn't do SD until Chookie kindly brought some starter over to the Forumfest in Gracetown. That is still going strong. If I wish to do a Yoke recipe, I just split my starter and feed it up with rye and leave the other bit white. From memory she always used some white bread flour in her rye breads. Djinni if you would like any of her recipes I am happy to pm you.
And also, is it a right time to start a Sourdough starter, in this cold weather? Sorry lots of questions