This may be a good mountain to scratch of your list during the Winter. I snowshoed the mountain on Saturday by parking at a turn out just below the Electric Lake resevoir. You can then make your own path (as commonly done when snowshoeing) up the face of the mountain to the peak. The first 1,500-1,800 ft. elevation climb is strenuous, but once upon the ridge it's easy (and scenic) going from there.
I did make the observation that the same road mentioned above is cleared during the winter. Whether one can enter the road freely during this time (and there are no locked gates) may be another question which I can't answer.
I'm not sure what the dates are, but there is a gate barring the dirt road from 264 to the summit of Monument Peak. As the post above states, there is no gate to reach Electric Lake, however the final dirt road to the summit is guarded by a locked gate at certain times, as we learned to our chagrin yesterday.