I made a whole new account to go through the quest chain again to make a guide about the rings you could choose, then I found your guide; I think it was for the best though since your guide is a lot better than I could've wrote it.
lol
Rancher Bill will offer you:
New Rings: Defib, Guns, Hack, Iron Will, My Density
Close Combat: Bump, Hack, Slash
Ranged Combat: Fire Rain, Guns, Solar Rays, Hot Foot, Hornet Nest
Crowd Control: Quicksand, Taunt
Defenses: Pot Lid, Teflon Spray
Healing: Bandage, Defib, Diagnose, Meat, Wish
Buffs: Coyote Spirit, Fitness, Iron Will, Keen Eye, My Density
And Uncle Kin will offer:
New Rings: Divinity, Fleet Feet, Hunter's Bow, Mantis, Rock Armor
Close Combat: Bump, Hack, Mantis, Slash
Ranged Combat: Fire Rain, Guns, Hornet Nest, Hot Foot, Hunter's Bow, Shuriken, Solar Rays
Crowd Control: Quicksand, Scaredy Cat, Taunt
Defenses: Pot Lid, Rock Armor, Teflon Spray, Turtle
Healing: Bandage, Defib, Diagnose, Divinity, Healing Halo, Meat, Wish
Buffs: Coyote Spirit, Fitness, Fleet Feet, Ghost, Iron Will, Keen Eye, My Density
Sadly, my level is too low for Otami Ruins ATM... guess I should dust off the quests this month.