[Boaz]

The Dance of the Dragons was the name of the Civil War between the children of Viserys I. Aegon Targaryen and Rhaenyra Targaryen both claimed the Iron Throne. Of the Dragons seems to mean between dragons or only consisting of dragons.

A Dance With Dragons seems to mean a non-Targaryen (or mayhaps multiple non-Targaryens) is interacting with multliple Targaryens.

Dany has already been at war with both Dothraki and Lhazareen while she was a Khaleesi and she's fought Mereen, Yunkai, and Astapor as a Targaryen Queen. Mayhaps she'll be at war with someone else.

Mayhaps the dancing with dragons will mean war. Mayhaps the dancing will mean more intrigue than actual fighting. We know that the Martells, the Greyjoys, and the Maesters have all independently sent emissaries to treat with Dany. We guess that the Tyrells might have done the same. And I'd be remiss if I did not guess that neither Littlefinger nor the High Septon were not trying to contact Dany also. Ergo, there is plenty of room for diplomacy from the major Houses and Organizations in Westeros with Dany. And she is the only known Targaryen at this time.

Jon's been at war with the Wildlings and the Others, though it seems soon he'll be under full attack from the Others.

Tyrion's been fighting the Starks and Baratheons (and briefly the Mountains Clans), though now he's at odds with the Lannisters.

Baby Aegon may be serving in the Golden Company. The Golden Company is a mercenary squad that seems to consist of exiled nobles.

Jon's on the Wall, Tyrion's in the Free Cities, while Dany is at Slaver's Bay. All four of these characters fall outside of the geographic parameters for AFFC and so are included in ADWD.

Aegon is also in the Free Cities for what it's worth. And presumably so is...

Jorah Mormont. We know his ex-wife is in the Free Cities. We know he'd like to find a way to end his exile. Mayhaps he'll join the Golden Company and serve Aegon.