[Nilpaurion Felagund]

The Dwarves however could not "fade" and become wraiths, nor could Sauron tamper much with their thoughts. (Neithan)

Dwarves resisted the power of the Three [remaining Dwarven Rings] otherwise they would have become wraiths as well, but they only became somewhat greedier. (lathspell)

(From Infinite Nazgul Combo by Me.)

I think Sauron's plan was to create Dwarven Nazgûl. He was using the same lure as for Men: it'll give you what you most desire in the world (in exchange for your will). Only it failed, due to the Dwarves' ill enduring of the domination of others.

I think it is appropriate that Gandalf has the ring of fire since he is also wielder of the Seret Flam of Anor (unless that in itself is a veiled reference to Narya) (Mithalwen)

For more references to the Secret Fire and Narya, see Wielding the Flame of Anor by Keep'.