There are two that I’m aware of:
On Saturday, 1/13, the annual Whitaker Woods Snowshoe Scramble will be held in North Conway, NH. Their FB page notes that the forecast is calling for rain but they think there’s enough of a base that it won’t be a problem – probably a good idea to keep an eye out there or contact the RD for any updates as Saturday morning approaches.
On Sunday, 1/14, the fine folks at Goose Adventure Racing are holding their annual Mendon Winterfest 8k near Rochester, NY. I’ve done the various iterations of this race quite a few times over the last 12 years and can definitely recommend it – plus they’re supposed to get a healthy snow storm Friday night and Saturday morning, so conditions should be excellent.