Our quaint town of Redding has a total of ZERO hotels, but, there are quite a few lodgings close by:

3 I would recommend:

Residence in by Marriott

22 Segar Street, Danbury, CT 203-797-1256.  This hotel has an indoor pool, a free continental breakfast, is 6.62 miles from the start and is priced starting at $119/night.

Days Inn

296 Ethan Allen Highway, Ridgefield, CT 203-438-3781.  This is the closest hotel to the start (3.16 miles) and is priced at $79/night.

Stonehedge Inn & Restaurant

35 Stonehedge rd, Ridgefield, CT 203-438-6511. if you want the full country Inn experience this may be your choice.  The Inn, 5.81 miles from the start, only has 12 rooms and they're priced from $90 for  single to $220 for a suite.  An award winning restaurant is on the property. 

There are numerous other ones in Danbury, including the Ethan Allen Hotel (7.73 miles from the start) and the Hampton Inn (7.72 miles)

You can also find some local B&B's via google, etc.