Sure there are lots of options. Be something that's hospital based. Be a hospitalist, a neonatologist, an intensivist or find your way into some medical condition that needs a multidisciplinary approach - something that requires visits from the nutritionist or speech therapist or psychologist. Examples of such include Eating Disorders or Developmental Pediatrics.
Also consider fields that are more supportive (though still very important) in nature - radiology, pathology, anesthesiology.
The big thing to point out though is that if you were to become a general internist or FP physician in private practice, if you have a production model contract (ie what revenue you generate determines your pay), then if you want to take more time with your patients, you're going to be sacrificing your own financial security. If you're okay with that, if you can reach a lifestyle you're comfortable with then that's your prerogative.
For example, I had two internal medicine attendings that demonstrated this to me quite clearly. As a pre-clinical med student I had an internal medicine preceptor who never scheduled any appointments shorter than 20 minutes. He avoided double bookings in all but the most dire situations (and his staff did not perform well when having to work sick patients in). His practice was very laid back and reflected his personality. He rarely saw more than 10 patients a half day. The other attending, on the other hand was VERY different. Returning patients never got an appointment scheduled for longer than 15 minutes, and new patients only got 30 minutes. He triple booked EVERY appointment time, sometimes going quadruple deep, meaning that he and his PA routinely saw a total of 50-60 patients in an afternoon. His clinic was always 2 hours behind. But it fit his personality and his lifestyle - he had an awesome vacation home in Breckenridge CO he always talked about, he had an amazing boat and house, and worked hard to maintain the lifestyle he desired.
The thing was these were two men who had been in residency at the same time, were in private practices that they were partners in and were affiliated with the same medical school as adjunct professors because they enjoyed teaching medical students. They were both excellent physicians, and their patients loved them (yes even the patients who routinely waited two hours to see attending #2 - they were perhaps even more effusive in their praise compared to the other doc's patients). And yet, they had very different practice models and pushed themselves in very different ways. Based on the time I spent with them, it really came down to lifestyle. They saw the number of patients they needed to see to make the money they needed.