Avoid I95 in Connecticut if you are going between 9-5. You would hit traffic throughout Stamford, Norwalk, Bridgeport, and New Haven.
A simpler way would be to enter CT by way of I-84 and head east on 84 to I-691. Then take Route 66 from 691 to Eastern Connecticut. Route 66 is not an interstate but a decent road to travel - for the most part the posted speed limit is 45-55 except when going through a small commercial area in Middletown, CT. If you are more "adventursome" take 66 to Route 6 which will take you just south of East Killingly. If you prefer highways, take 66 to Route 2 which is a limited access highway. Route 2 dumps you onto I-395 about 45 minutes south of Easy Killingly. No tolls either way. The only time you will hit traffic is in Waterbury before 10am.
About 5 minutes on Route 66 from 691 is a decent little burger/hot dog place called Guida's if you're passing through around lunch time. There's also a small mom/pop style RV dealer on 66 in East Hampton if you need supplies/repairs/etc.