The 5e Volo’s Guide to Monsters introduces the shamans of two more "savage" races.
Kobold (lawful evil, INT 8 in the MM) shamans are "very rare" as kobolds "depend on arcane magic rather than divine".
Orc (chaotic evil, INT 7 in the MM) shamans serve their god of disease, Yurtrus. Chapter 1 Monster Lore (pg 84):
Yurtrus is often depicted as consumed by rot and covered in oozing pustules, utterly repulsive except for his hands, which are pure white and free of any blemish… The followers of Yurtrus are allowed to dwell on the fringes of the tribe, but are looked upon with distaste and unease... Shamans who heed the telepathic whispers of Yurtrus walk the perilous line between the living and the dead, and gain uncanny powers from doing so... These shamans, known as White Hands, cover their hands in white ash or wear pale gloves made of elf skin to symbolize their connection to the power of Yurtrus. The necromancy practiced by the shamans of Yurtrus is a force considered taboo by orcs, which makes them both revered and feared by the rest of the tribe.
It’s hard to imagine a more negative portrayal of shamanism than this. "Uncanny powers", gloves made out of the skin of sentient beings, "necromancy", "feared by… the tribe" – straight out of the early 20th century pulp tradition.
The section on orcs in Chapter 3 Bestiary repeats most of the information above but employs different phrasing. "Shaman" is not used, being replaced by "priest". "Orc priests that oversee the line between life and death are known by the others in the tribe as hands of Yurtrus." (pg 185) Perhaps the work of two different writers?