Yes, talk to your parents about what they will contribute to your college costs.
You may want to check if Eastern Connecticut State University, which advertises itself as a public LAC, can be a safety that you would be interested in attending.
Other public LACs are listed at http://www.coplac.org/members/ . SUNY Geneseo may be worth a look, since SUNY out-of-state prices are not too bad.