I feel your pain about this and it's a frustration I've dealt with myself throughout my time working in healthcare. Like it or not, though, productivity standards are a fact of life in any line of work, not just in healthcare, as most business of any kind have to operate on a thin margin in order to remain competitive. Even so, quality is important, and as the last poster correctly points out, poor quality work can actually create more work in the long run because other people have to go back and fix the mistakes and their consequences. There's a saying I like and agree with which is "If you don't have time to do it right, how are you going to find time to do it over?" In my opinion, businesses (and their employees too) always need to find the right balance between productivity and quality - both are important, and failure to recognize the need for both good quality and efficient productivity is simply poor management.
All that said, it can indeed be difficult to find an employer that operates this way, but there are ones out there that do. I think that on the provider side, larger organizations such as hospital groups tend to be more focused on quality because they tend to be under more scrutiny from the payers and are so are more aware of the potential financial costs of not maintaining good coding quality, and larger employers may not be quite so tight on their budgets which may allow them the flexibility to balance the two.
So if you're looking for an organization that will recognize and reward quality, I don't think you're looking for a needle in a haystack and would encourage you to keep looking. On the other hand, I don't think you're going to escape the need to meet productivity standards wherever you go, in this industry or in any another. But one suggestion I might make is that, if your strength is in quality rather than productivity, then perhaps a production coding job might not be the right role for you and I'd suggest looking for, or working toward, a position that involves a quality focus. For example, a quality auditor or educator, or an appeals specialist, an analyst, or lead/supervisory role where your focus is not on always meeting your numbers on a daily basis but where you can take on a problem-solving or research function - someone who is responsible for finding the right answers for the organization and communicating that information to others. In one of these positions, you could be handling escalated issues or questions that require someone who is good at solving the problems that enable the organization to be successful. There are certainly such roles out there if you persevere and keep looking. Good luck!