This is always a good start... -
https://www.nps.gov/cany/planyourvisit/whiterimroad.htm
Current road conditions for the White Rim-
https://www.nps.gov/cany/planyourvisit/road-conditions.htm
Looks like you're prepared with the recovery boards;
"White Rim Road 4WD: Due to a deep sand obstacle, recovery boards are strongly recommended for vehicles traveling counter clockwise and climbing up Hardscrabble Hill. Otherwise, road is passable to high-clearance four-wheel-drive.
Even when rated as "passable," four-wheel-drive roads are challenging. High-clearance, four-wheel-drive vehicles with a low range gear (4LO) is required on the White Rim Road. Other vehicles (e.g., all-wheel-drive vehicles, and low-clearance or high-clearance two-wheel-drive vehicles) have difficulty negotiating the rough slickrock, loose rocks, deep sand, and steep switchbacks. Permits are required on the White Rim Road.
Carry extra fuel and be prepared to self-rescue. During winter, all vehicles should carry chains."
I don't have any first hand info though.