The effects makes it very hard to price
Hero slot (This limits it to one in the slot at a time. This would normally be a -3quanta cost reduction but see Deploy.)
Deploy (This turns the Hero into a genuine creature. This also has the effect of making the single slot problem less of a drawback and more akin to a weapon that animates itself. However see Withdraw.)
Withdraw (Withdraw combined with Deploy allows the Hero to be completely healed and purified of status effects.)
Aura (The cost reduction aura while being in the hero slot makes the actual cost of the Hero less due to the quanta it saves that very turn. Lots of synergy with Fractal.)
Optimal Play seems to be:
Osin [X
|Y
]
Horned|Giant Frog [1
]
Fractal [10
|9
]
3-8 Horned|Giant Frogs [3-8
]
Wait 1-2 turns then
Empty hand as much as possible
Fractal [10
|9
]
2-8 Horned|Giant Frogs [2-8
]
and Deploy Osin [1
]