Is there a better name for this than "emphatic and"?

Solution 1:

It's called polysyndeton, and creates a polysyndetic co-ordination.

Polysyndeton is the use of several conjunctions in close succession, especially where some might be omitted (as in "he ran and jumped and laughed for joy"). The word "polysyndeton" comes from the Greek "poly-", meaning "many," and "syndeton", meaning "bound together with". It is a stylistic scheme used to achieve a variety of effects: it can increase the rhythm of prose, speed or slow its pace, convey solemnity or even ecstasy and childlike exuberance. Another common use of polysyndeton is to create a sense of being overwhelmed, or in fact directly overwhelm the audience by using conjunctions, rather than commas, leaving little room for a reader to breathe.

[Wikipedia]

The opposite, leaving out every conjunction, is called asyndeton.