Check out LinkUp! Rather than sifting through endless job sites and cherry picking your way through all the potential employers that you can think of (and worrying about who you aren't thinking of), LinkUp is one stop shopping to find out who's hiring what positions in a specific geographic area.
LinkUp crawls through employer sites and pulls up their postings for you. It doesn't cost a dime, either.
It's also a cheap way to find potential employers who may not have the right posting today. But, just might be someone you want to start networking with now and see what happens later.
For example, I ran a search on "health insurance" and "Connecticut" and got 264 results. That's a lot of corporate sites to explore and research.