Jim, don't let me discourage you on doing some CT river trips - it is a fun place to paddle, but you generally need to go early or late in the season on most of the lower stretches to avoid powerboaters. Also, this year has been exceptionally dry in New England and many, many rivers are very low - including the Connecticut. For a guide about the river I recommend
The Connecticut River Boating Guide, 3rd Edition : Source to Sea. (It has both good history and good river information.) The AMC probably has some of the most respected river guides to trips in New England. You need a variety to get all of the areas you might want to paddle.
As the Connecticut flows between Vermont and New Hampshire, there are some better opportunities to paddle. We've done the stretch from Hartland down to Wilgus state park in Ascutney - a pretty fall paddle - but be sure the water level is up. When we did this trip, the site Ranger was wonderful and helped us to shuttle paddlers and vehicles!
While the river is interrupted downstream by several dams, there is good paddling through most of the rest of the state with detours at various spots for side-trips including the meadows at Brattleboro. There is another state park in Brattleboro - Fort Dummer, but it would require some significant walking to get there from the river.
Over in Southwestern Vermont, there is also the Battenkill which runs over from New York. Some opportunity for paddling inn-to-inn there... Not shabby.
For good information on water levels, locals and
USGS.org is a good start.