
Finoan |

Both Doubling Rings and Blazons of Shared Power specify weapons only. Unarmed attack users are left out.
Even a feat that can apply to a weapon with the agile or finesse trait would not apply to 'fist' because unarmed attacks are explicitly not weapons.

Trip.H |

There is actually enough of a "problem" with "fist" being a deity's favored "weapon" that I'm sure your GM will accommodate this.
I'd ask them if they would let free-hand weapons like the Gauntlet family to count as a favored weapon, which is rings-compatible, and will imo be more future-proofed for other snags.
If you want the RP of the raw fist, then you can ask for them to be made rune-compatible due to the issue of cleric stuff assuming the deity uses a real "weapon" and not an unarmed attack.

Trip.H |

Why not just use [i]Handwraps of Mighty Blows[/b] and fight with fists?
Presumably because runeing up 2 different weapons is prohibitively expensive. Unarmed attacks are not "weapons" and are incompatible with many things, including the doubling rings. (though any GM can change that)