Disappointment.118 shrines down and I have yet to do any of the beast so I have no idea what to expect.
As to the question posed by OP (even though by now it's moot, others may still take interest):
Do the Zora's first if you keep getting killed
Do the Goron's first if you need some help in combat
Do the Rito first if you want to get the easiest Beast out of the way
Do the Gerudo's first if you're new to the combat system and you want to get your ass handed to you on a platter by your first boss. It seems that Thunderblight is objectively the hardest to fight from what I hear, and if you don't know how to do perfect dodges or parries, I imagine he would wreck one's ****.
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