You can also get to the Bucklin Trailhead coming in the other end of Wheelerville, its much better graded and doesn't rutt up so bad in mud season.
Check your maps for Town Line Rd on the left, about another mile east on 4 heading toward Rutland, VT. You can access Wheelerville Rd from there, and its paved for a good section of the way.
Like MJ said, they do discourage travel on Wheelerville Rd in mud season, but there are many turn offs where you can park along the road. Wheelerville is used by locals for walking/biking/running. Its 3.75 mile walk up to the Bucklin Trail, and its a really scenic walk along the river. A nice way to extend that hike for those looking for more time outside.