The turn requirement here is actually pretty generous at 110 turns so it is likely very possible to win this stage without any FRs
However, Odin has several one hit KO attacks in his arsenal, so IMO it may be better to save your reserve units for other stages in this series
Timestamp
Party setup at 8:39
0:00 Setup
Doesn't really matter who starts first. Go BT+ with Kam'lanaut at the start to inflict Paralysis. I split Krile Ray of Hope uses across her first two turns so that I can fully charge the FR meter by her second turn
In between, Machina helps to charge the FR meter slightly by spamming some Awakening.
You should BT+ with Machina before Krile's second turn
Once Summon meter is charged, spam Ray of Hope with Krile but save her EX for later.
3:32 Summon Mode
Use one attack each, again saving Krile EX
On the last three attacks inside summon mode, use Kam FR, Krile EX and then Raines LDCA on Machina
5:39 BT mode Machina
I used one Awakening before BT mode just to get a higher FR bonus. Then go BrRrRR until boss dead.