These are all the studies indexed on PubMed that I've been able to find which look at outcomes of whole-practice naturopathic medicine:

In patients with temporomandibular disorders, Traditional Chinese Medicine (TCM) and naturopathic medicine (NM) each resulted in significantly greater reduction of pain and psychosocial interference than state-of-the-art specialty care.

Naturopathic medicine combined with usual care for MS showed a trend in improvement in the General Health subscale of the SF-36, Timed Walk, and neurologic impairment.

Naturopathic care provided significantly greater improvement than physiotherapy advice for patients with chronic low back pain.

This economic evaluation alongside a pragmatic randomized control trial shows naturopathic care to be more cost-effective than a standardized physiotherapy education regimen in the treatment of chronic low back pain.

Naturopathic care (NC) and physical exercises (PE) provided significant improvements (for patients with rotator cuff tendonitis), with greater improvement in shoulder function in the NC group compared with the PE group. Statistically significant improvements in quality of life measures were observed in the NC group as compared with the PE group.

Both naturopathic care (NC) and standard psychotherapy (PT) led to significant improvements in patients' anxiety. Group comparison demonstrated a significant decrease in anxiety levels in the NC group over the PT group. Significant improvements in secondary quality of life measures were also observed in the NC group as compared to PT.

After a year of care, the naturopathic group had a 3% lower 10-year cardiovascular risk and a 16.9% lower incidence of metabolic syndrome than the control group.

A naturopathic approach to CVD primary prevention significantly reduced CVD risk over usual care plus biometric screening and reduced costs to society and employers in this multi-worksite-based study.