Start by going to the websites for the major health insurance companies. Most should offer independent plans. The hard part is finding independent plans that actually take real people. Be very, very, very cautious about what you say on the medical forms. My husband was turned down because he admitted to smoking as a teen 20+ years ago, for example. Be honest but not overly forthcoming with information, if that makes sense.
For dental, it's a whole lot easier. Chances are you'll need to change dentists because most don't take the independent plans. We have DeltaCare and like it. It's pretty inexpensive, too. But we did have to choose from the limited number of dentists in the plan.
Good luck!