You cannot get a better deal on health insurance on your own than through your employer. If you want to take a summer off the amount of money you would have to save up to pay for that is much higher. If you are thinking about changing jobs for more money you have to not only compare salaries, but also a complex benefit system that isn't really explained in the job offer.
If you want to see transparent pricing get the employer out. Buy your insurance directly from whoever you want (or maybe from the agent you like). Of course it will take years for things to change after this, don't expect things overnight.
Edit: as others have pointed out, it is the large companies who benefit at the expense of small companies and employees.