To add a bit more to dperkheezy's post as I rode this section today.
The construction zone extends from the intersection of 302/113 (on the west) to the state border. My wife drove the construction zone and described it as "nasty." The project is not scheduled to be completed until early October (http://conwaynh.org/public-works/
I used East Conway Road as a bypass. From the traffic in a non-commercial zone, I think the locals are also using this as a vehicle bypass. The east two miles of the East Conway Road bypass section are without a shoulder and heavily damaged. Use caution.
(a) 0.0 mi Turn left onto US-302 from main route.
(b) 0.9 mi Turn right onto East Conway Road (police station on your right)
(c) 6.5 mi Turn right onto 113
(d) 7.7 mi Turn left onto Main Street to rejoin route.