Not wanting to run the business aspect of a practice does not limit you to salaried positions.
You could go into academia, the military, IHS, Public health clinic, a chain dental clinic, or be an associate in just about any type of practice you want. Most associates do not deal with the business side but rather get paid a salary or a percentage. You could work in the swankest Beverly Hills practice doing only cosmetic dentistry as an associate in someone else's practice and never have to worry about the business of doing dentistry.
Very few new grads start out in a position where they run the business, so you'll likely start out like the rest of your peers. Don't give up on running a business this early though. After a few years you may like the freedom of choice being an owner can provide you and realize that while making buiness decisions can be a pain, it is not overwhelming or impossible.
JMHO
Rob