We just got back from our trip down there last night. Black Bear wasn't wet, we ran it first thing in the morning, we were at the summit around 7 am on Saturday morning. I have a stock 231 and in 4L and 1st gear it did just fine. I had more braking coming down Imogene. If it is wet it could be dangerous however doable. If there are sustained rains for big periods of time then it may be best to avoid it. But if you get a night where there is no rain or light rain, get up early and run it first thing in the morning.
This is after the "steps" at Ingram Falls: