You can get on the Sandys Railway Trail [1] just behind the Somerset Police Station. The trail runs through the parish, hugging the Great Sound shoreline all the way to Somerset Bridge [2]—the most scenic stretch in Sandys [3], and possibly the whole island.
Links:
[1] http://www.moon.com/destinations/bermuda/sandys-parish/around-sandys/recreation/railway-trail
[2] http://www.moon.com/destinations/bermuda/sandys-parish/around-sandys/sights/somerset-bridge
[3] http://www.moon.com/destinations/bermuda/sandys-parish