Three Forks Trail is at maybe 3800' elevation. All the snow drifts that stopped me on the north side of the ridge from there (Lick Creek unit) were from 4600'-4900', so I'd THINK you should be fine. Good luck if you decide to try.
Maybe call the Forest Service to see what they know about the road travel conditions. I called Pomeroy before heading out, and their info was pretty close to the actual conditions. They were helpful enough that I called them back to give them exact info as to how far you could get on each road I was on.